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* = *x*2. (2 points)

a.

*y* = *x^2* - 5

b.

*y* = -2*x^2*

c.

*y* = (*x* - 5)^2

d.

*y* = (-3*x*)^2

**10. **Write a function for each graph described as a transformation of *y* = *x*2.

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.

#### Top Answer

a. Explain the effect of c on the graph of y = f ( x ) for the function y = f ( x ) + c . We have y = f ( x ) if we add c to... View the full answer