12 Quadratic Transformations Day 2

Last updated over 4 years ago
16 questions
1

The functions f(x) = x2 - 6x + 9 and g(x) = f(x) + k are graphed below.


Which value of k would result in the graph g(x)?

1

The graph below shows the function f(x).


Which graph represents the function f(x) -2 ?

1

Which transformation of y = f(x) moves the graph 5 units to the right and 2 unit down?

1

The minimum point on the graph of the equation y = f(x) is (-1,-3). What is the minimum point on the graph of the equation y = f(x) + 5?

1

The functions f(x) and g(x) are drawn below.

Which translation occured for f(x) to transform to g(x)?

1

The graph of y = f(x) is shown below.


What is the graph of y = f(x + 1) - 2 ?

1

Function f(x) = 2x2. If g(x) = f(x - 5), how is the graph of f(x) translated to form the graph g(x)?

1

The maximum point on the graph of the equation y = f(x) is (2, -3). What is the maximum point on the graph of the equation y = f(x - 4) ?

1

Which transformation of y = f(x) reflects the graph over the x-axis and makes it more narrow?

1

Function f(x) = -2x2 If g(x) = -f(x), how does the graph of f(x) transform to become g(x)?

1

Which transformation of y = f(x) moves the graph left 3 units and down 7 units?

1

The functions f(x) and g(x) are drawn below.


Which translation occured for f(x) to transform to g(x)?

1

The graph below shows the function f(x).


Which graph represents the function f(x + 2) ?

1

Graph the function y = x2 + 4 on the set of axes below.
Explain how the graph of y = x2 + 4 has changed from the related graph y = x2

1

The graph of the function p(x) is represented below. On the same set of axes, sketch the function p(x + 5).

1



Explain how changing the coefficient from 1 to 3 affects the graph.