The quadratic parent function is reflected over the x-axis, then shifted up 3 and left 1.
Write the equation for the new function in vertex form, y=A(x-h)^{2}+k, no spaces.
Question 8
8.
Identify the vertex.
y=(x+2)^{2}+1
Use (x, y) format with one space after the comma.
Question 9
9.
Identify the increasing interval.
y=(x+2)^{2}+1
Use interval notation, one space after the comma.
Question 10
10.
Question 11
11.
State the range of the given function.
y=\sqrt{x+2}+1
Use interval notation, with one space after the comma.
Question 12
12.
State the domain of the given function.
y=\sqrt{x+2}+1
Use interval notation, with one space after the comma.
Question 13
13.
Identify the vertex:
y=-\frac{5}{2}(x-4)^{2}
Use (x, y) format with one space after the comma.
Question 14
14.
Identify the increasing interval:
y=-\frac{5}{2}(x-4)^{2}
Use interval notation, one space after the comma.
For the infinity symbol, use the keyboard on the right.
Question 15
15.
Question 16
16.
Identify the range.
y=-\sqrt{x-1}
Use interval notation.
Question 17
17.
Identify the domain.
y=-\sqrt{x-1}
Use interval notation.
Describe the transformations that were applied to the parent function.
y = x^{2}-5
moved five units down the y-axis
moved five units up the y-axis
moved five units left on the x-axis
moved five units right on the x-axis
Describe the transformations that were applied to the parent function.
y = 3\sqrt{x+8}
vertical stretch by 3 and right 8
vertical compression by 3 and left 8
vertical compression by 3 and right 8
vertical stretch by 3 and left 8
Describe the transformations that were applied to the parent function.
y=\frac{1}{2}(x-1)^{2}-1
vertical compression by 1/2, left 1, down 1
vertical stretch by 1/2, left 1, down 1
vertical stretch by 1/2, right 1, down 1
vertical compression by 1/2, right 1, down 1
Dale graphed the square root parent function. Then, he reflected the graph over the x-axis, shifted it four untis to the right and three units up. Give the new equation.
Identify the function transformations.
y=\frac{5}{4}x^{2}+4
left 4
right 4
up 4
down 4
stretch by 5/4
compress by 5/4
reflection
Identify the function transforms.
y=-2\sqrt{x-2}
left 2
right 2
down 2
up 2
stretch by 2
compression by 2
reflection
y=(x+2)^{2}+1
Which gives the end behaviors for the function?
As x\rightarrow \infty, y\rightarrow \infty. As x\rightarrow -\infty, y\rightarrow \infty.
As x\rightarrow \infty, y\rightarrow \infty. As x\rightarrow -\infty, y\rightarrow -\infty.
As x\rightarrow \infty, y\rightarrow -\infty. As x\rightarrow -\infty, y\rightarrow \infty.
As x\rightarrow \infty, y\rightarrow -\infty. As x\rightarrow -\infty, y\rightarrow -\infty.
Consider
y=-\frac{5}{2}(x-4)^{2}
Which gives the end behaviors for the function?
As x\rightarrow \infty, y\rightarrow \infty. As x\rightarrow -\infty, y\rightarrow \infty.
As x\rightarrow \infty, y\rightarrow \infty. As x\rightarrow -\infty, y\rightarrow -\infty.
As x\rightarrow \infty, y\rightarrow -\infty. As x\rightarrow -\infty, y\rightarrow \infty.
As x\rightarrow \infty, y\rightarrow -\infty. As x\rightarrow -\infty, y\rightarrow -\infty.