Unit 4 Optional Review: Function Analysis (Bartels M3H)

1

f(x)=x^2 has been transformed to h(x). The graph of h(x) is shown. Which of the following is true about h(x)?
I. h(x) is reflected over the x-axis
II. h(x)=-1(x-4)^{2}+4
III. The is domain is (-∞, ∞)
IV: h(x) is negative on (4, ∞)

1

Which of the following value of “b” would cause a horizontal stretch to the graph of parent quadratic function?

1

Which of the following value of “b” would cause a horizontal compression to the graph of parent quadratic function?

1

Which of the following value of “a” would cause a vertical compression to the graph of parent quadratic function?

1

Which of the following value of “a” would cause a vertical stretch to the graph of parent quadratic function?

1

The function f(x)=x^2 has been transformed to g(x) such that g(x)= 3(-2x-6)+2. Which of the following is not true about the graph of gx when compared to f(x)?

g(x) has a vertex at (-3,2)

Reflected the parent function over the y-axis.

Horizontally compressed the parent function by a factor of 1/2.

Shifted the parent function up 2 units.

Shifted the parent function to the right 6 units.

1

All of the following functions have a vertical shift in the graph except:

1

Consider the piecewise function described by the following equation. What is f(-3)?

2

-2

-11

7

1

Consider the piecewise function described by the following equation. What is f(5)?

2

-2

23

3

1

Which of the graphs has odd symmetry?

null

1

Which of the graphs has even symmetry?

null

1

Which of the following functions have an absolute minimum? Select all that apply.

1

Which of the following functions have an absolute maximum? Select all that apply.

1

Which of the following piecewise function matches the graph below?

null

1

A absolute minimum is also an relative minimum.

Always

Sometimes

Never

1

A piecewise function only contains one function but has a restricted domain.

Always

Sometimes

Never

2

1

13

10

Unit 4 Optional Review: Function Analysis (Bartels M3H)

f(x)=x^2 has been transformed to h(x). The graph of h(x) is shown. Which of the following is true about h(x)?
I. h(x) is reflected over the x-axis
II. h(x)=-1(x-4)^{2}+4
III. The is domain is (-∞, ∞)
IV: h(x) is negative on (4, ∞)

Which of the following value of “b” would cause a horizontal stretch to the graph of parent quadratic function?

Which of the following value of “b” would cause a horizontal compression to the graph of parent quadratic function?

Which of the following value of “a” would cause a vertical compression to the graph of parent quadratic function?

Which of the following value of “a” would cause a vertical stretch to the graph of parent quadratic function?

The function f(x)=x^2 has been transformed to g(x) such that g(x)= 3(-2x-6)+2. Which of the following is not true about the graph of gx when compared to f(x)?

All of the following functions have a vertical shift in the graph except:

Consider the piecewise function described by the following equation. What is f(-3)?

Consider the piecewise function described by the following equation. What is f(5)?

Which of the graphs has odd symmetry?

Which of the graphs has even symmetry?

Which of the following functions have an absolute minimum? Select all that apply.

Which of the following functions have an absolute maximum? Select all that apply.

Which of the following piecewise function matches the graph below?

A absolute minimum is also an relative minimum.

A piecewise function only contains one function but has a restricted domain.

f(x)=x^2 has been transformed to h(x). The graph of h(x) is shown. Which of the following is true about h(x)?
I. h(x) is reflected over the x-axis
II. h(x)=-1(x-4)^{2}+4
III. The is domain is (-∞, ∞)
IV: h(x) is negative on (4, ∞)

Which of the following value of “b” would cause a horizontal stretch to the graph of parent quadratic function?

Which of the following value of “b” would cause a horizontal compression to the graph of parent quadratic function?

Which of the following value of “a” would cause a vertical compression to the graph of parent quadratic function?

Which of the following value of “a” would cause a vertical stretch to the graph of parent quadratic function?

The function f(x)=x^2 has been transformed to g(x) such that g(x)= 3(-2x-6)+2. Which of the following is not true about the graph of gx when compared to f(x)?

All of the following functions have a vertical shift in the graph except:

Consider the piecewise function described by the following equation. What is f(-3)?

Consider the piecewise function described by the following equation. What is f(5)?

Which of the graphs has odd symmetry?

Which of the graphs has even symmetry?

Which of the following functions have an absolute minimum? Select all that apply.

Which of the following functions have an absolute maximum? Select all that apply.

Which of the following piecewise function matches the graph below?

Which of the following are true about the graph below? Select all that apply.

A absolute minimum is also an relative minimum.

A piecewise function only contains one function but has a restricted domain.

Given the graph of y=f(x), list all of the transformations given by y= -2f(x+2)-1.
Transformation:

Unit 4 Optional Review: Function Analysis (Bartels M3H)

Unit 4 Optional Review: Function Analysis (Bartels M3H)

f(x)=x^2 has been transformed to h(x). The graph of h(x) is shown. Which of the following is true about h(x)?I. h(x) is reflected over the x-axisII. h(x)=-1(x-4)^{2}+4III. The is domain is (-∞, ∞)IV: h(x) is negative on (4, ∞)

Which of the following value of “b” would cause a horizontal stretch to the graph of parent quadratic function?

Which of the following value of “b” would cause a horizontal compression to the graph of parent quadratic function?

Which of the following value of “a” would cause a vertical compression to the graph of parent quadratic function?

Which of the following value of “a” would cause a vertical stretch to the graph of parent quadratic function?

The function f(x)=x^2 has been transformed to g(x) such that g(x)= 3(-2x-6)+2. Which of the following is not true about the graph of gx when compared to f(x)?

All of the following functions have a vertical shift in the graph except:

Consider the piecewise function described by the following equation. What is f(-3)?

Consider the piecewise function described by the following equation. What is f(5)?

Which of the graphs has odd symmetry?

Which of the graphs has even symmetry?

Which of the following functions have an absolute minimum? Select all that apply.

Which of the following functions have an absolute maximum? Select all that apply.

Which of the following piecewise function matches the graph below?

A absolute minimum is also an relative minimum.

A piecewise function only contains one function but has a restricted domain.

f(x)=x^2 has been transformed to h(x). The graph of h(x) is shown. Which of the following is true about h(x)?I. h(x) is reflected over the x-axisII. h(x)=-1(x-4)^{2}+4III. The is domain is (-∞, ∞)IV: h(x) is negative on (4, ∞)

Which of the following value of “b” would cause a horizontal stretch to the graph of parent quadratic function?

Which of the following value of “b” would cause a horizontal compression to the graph of parent quadratic function?

Which of the following value of “a” would cause a vertical compression to the graph of parent quadratic function?

Which of the following value of “a” would cause a vertical stretch to the graph of parent quadratic function?

The function f(x)=x^2 has been transformed to g(x) such that g(x)= 3(-2x-6)+2. Which of the following is not true about the graph of gx when compared to f(x)?

All of the following functions have a vertical shift in the graph except:

Consider the piecewise function described by the following equation. What is f(-3)?

Consider the piecewise function described by the following equation. What is f(5)?

Which of the graphs has odd symmetry?

Which of the graphs has even symmetry?

Which of the following functions have an absolute minimum? Select all that apply.

Which of the following functions have an absolute maximum? Select all that apply.

Which of the following piecewise function matches the graph below?

Which of the following are true about the graph below? Select all that apply.

A absolute minimum is also an relative minimum.

A piecewise function only contains one function but has a restricted domain.

Given the graph of y=f(x), list all of the transformations given by y= -2f(x+2)-1. Transformation:

f(x)=x^2 has been transformed to h(x). The graph of h(x) is shown. Which of the following is true about h(x)?
I. h(x) is reflected over the x-axis
II. h(x)=-1(x-4)^{2}+4
III. The is domain is (-∞, ∞)
IV: h(x) is negative on (4, ∞)

f(x)=x^2 has been transformed to h(x). The graph of h(x) is shown. Which of the following is true about h(x)?
I. h(x) is reflected over the x-axis
II. h(x)=-1(x-4)^{2}+4
III. The is domain is (-∞, ∞)
IV: h(x) is negative on (4, ∞)

Given the graph of y=f(x), list all of the transformations given by y= -2f(x+2)-1.
Transformation: