Compare the graph of the quadratic function

Question

Solve the following:

1. Perform the requested operation or operations.

f(x) = 2x - 9, g(x) = 4x - 4

Find (f - g)(x)

2. Compare the graph of the given quadratic function f with the graph of y = x2

f(x) = (x - 8)² + 4

Solve the problem

Find (f ° g)(3) when f(x) = -5x + 2 and g(x) = 8x2 + 9x + 7

3. Compute and simplify the difference quotient

f(x + h) - f(x)/h , h ≠ 0.

4. Consider the function h as defined. Find functions f and g so that (f ° g)(x) = h(x).

h(x) = 10/x^2 +4

5. Solve the problem.

Find (f °g)(-6) when f(x) = 4x + 4 and g(x) = 6x² - 3x - 6.

6. Determine whether or not the function is one-to-one.

7. Perform the requested operation or operations.

f(x) = 9x - 4, g(x) = 6x - 6

Find (f - g)(x).

8. Graph the basic function using a solid line and the transformed function using a dotted line.
y = -3 |x|

9. Solve the problem

Select the equation that describes the graph shown

A. y = (x + 2)²- 4
B. y = (x + 4)² + 2
C. y = (x - 4)² + 2
D. y = x² - 4