Question

 Use your knowledge of quadratic

functions to answer the following questions.

a.

Explain the effect of c on the graph of y = f(x) for the function y = f(x) + c.

b.

Explain the effect of c on the graph of y = f(x) for the function y = f(x + c).

c.

Compare the graphs of y = f(x) and y = -f(x).

d.

Compare the graphs of y = f(x) and y = f(-x).

e.

Explain the effect of c on the graph of y = f(x) for the function y = cf(x).

f.

Explain the effect of c on the graph of y = f(x) for the function y = f(cx).

9. Explain how the graph of each given function is a transformation of the graph of y = x2. (2 points)

a.

y = x^2 - 5

b.

y = -2x^2

c.

y = (x - 5)^2

d.

y = (-3x)^2

10. Write a function for each graph described as a transformation of y = x2.

a.

y = x^2 undergoes a shift left of 2 units, then a reflection through the x-axis.

1 pt

b

y = x^2 undergoes a horizontal stretch by a factor of , then a shift up of 4 units.