2nd 9 Weeks

Change the following vertex-form equation into standard form.

y = 4(x - 1)² + 11

• y = x² + 8x + 15

• y = 4x² - 8x + 4

• y = x² - 2x + 1

• y = 4x² - 8x + 15

Solve the following equation by factoring.

2x² + 7x - 15 = 0

• (2x - 3)(x + 5) = 0

• (2x - 5)(x + 3) = 0

• (2x + 3)(x - 5) = 0

• (x - 3)(x + 10) = 0

The area of a rectangle is described by the quadratic function A(x) = 3x² - 4x - 4. Which set of functions could represent the length and width of the rectangle? (Hint: Factor the function!)

• l(x) = 3x - 3 and w(x) = x + 4

• l(x) = 3x - 2 and w(x) = x +2

• l(x) = 3x + 2 and w(x) = x - 2

• l(x) = 3x + 3 and w(x) = x - 4

Which type of function does this table represent?

• Linear

• Quadratic

• Exponential

Which type of function does this table represent?

• Linear

• Quadratic

• Exponential

Using the following functions, find the function h(x) when

h(x) = f(x) - g(x)

f(x)= 7x² - 4x + 11

g(x) = 4x² + 9x - 4

• h(x) = 3x² - 13x + 15

• h(x) = 11x² + 5x + 7

• h(x) = 3x² + 5x - 7

• h(x) = 11x² - 5x + 7

Using the following functions, solve the function composition

h(x) = f(g(x))

f(x) = -4x + 2

g(x) = 3x - 8

• h(x) = -12x - 2

• h(x) = -7x + 10

• h(x) = -x - 6

• h(x) = -12x + 34

Using the following functions, find the function h(x) when

h(x) = f(x) * g(x)

f(x)= 2x + 5

g(x) = -3x - 4

• h(x) = 6x² + 23x - 20

• h(x) = -6x² - 23x - 20

• h(x) = -6x² - 23x + 20

• h(x) = -6x² - 20