Unit 3 Warm Up

Which of the following describes the graph of the function

f(x) = x² + x - 12?

• It opens upward with intercepts at (-3,0) and (4,0)

• It opens upward with intercepts at (3,0) and (-4,0)

• It opens downward with intercepts at (-3,0) and (4,0)

• It opens downward with intercepts at (-3,0) and (4,0)

Which expression is a factor of

12x² + x - 63 ?

• (3x-7)

• (4x-7)

• (4x-9)

• (3x-9)

Which function is equivalent to f(x)= -3(x+4)² -8 ?

(Hint: graph in Desmos)

• f(x)= -3x² -24x-40

• f(x)= -3x² -24x-56

• f(x)= -3x² +8x-24

• f(x)= -3x² +8x-152

What are the domain and range of g(x) = -3(x-8)² +20 ?

• Domain: g(x) ≤ 20

  Range: x ≤ 8

• Domain: All real numbers

  Range: x ≤ 8

• Domain: x ≤ 8

  Range: g(x) ≤ 20

• Domain: All real numbers

  Range: g(x) ≤ 20

What are the solutions to (x+9)² =64

• x = 55

  x = 73

• x = -1

  x = -17

• x = 1

  x = 17

• x = -55

  x = -73

Which value of x is a solution to this equation?

4x² + 26x + 12 = 0

• -0.5

• -2.5

• -6

• -4.5