Graphs of Factored Quadratics

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How many solutions are there in this system of equations (quadratic and linear)?

hint: we are looking for where the graphs intersect.

• Two solutions

• One solution

• No solution

• Infinitely many solutions

Tags

CCSS.HSA.REI.C.7

Given this graph is the function of y=x^2-2x-8 , what is the solution to x^2=2x+8 ?

• (1, 9)
  

• x = {-2, 4}
  

• (0, 8)
  

• x = {5, 2}
  

What is the y-intercept of f(x) = 2(x-4)(x+2)

• (0, 2)

• (0, -8)

• (0, 4)

• (0, -16)

Tags

CCSS.HSF-IF.C.7A

What is the end behavior of the function f(x) = (x + 7)(x - 16)?

• As x→ -∞, f(x)→∞

  As x→ ∞, f(x)→∞

• As x→ -∞, f(x)→ -∞

  As x→ ∞, f(x)→ -∞

• As x→ -∞, f(x)→ ∞

  As x→ ∞, f(x)→ -∞

• As x→ -∞, f(x)→ -∞

  As x→ ∞, f(x)→∞

What are the x-intercepts? f(x) = 2(x-4)(x+2)

• (4, 0), (-2, 0)

• (0, 4), (0, -2)

• (-4, 0), (2, 0)

• (0, -4), (0, 2)

Tags

CCSS.HSF-IF.C.7C

What can you tell from an equation in intercept (factored) form? (without doing any calculations)
f(x) = a(x-p)(x-q)

• x-intercepts

• y-intercepts

• vertex

What interval is the following function decreasing? f(x) = -2(x + 3)(x + 1)

• [-2,∞)

• (-2,∞)

• (-∞, -2]

• (-∞, -2)

Find the average rate of change for the function f(x) = -(x - 2)(x + 4) for the interval 0≤ x ≤ 2.

• 4

• 1/4

• -4

• -1/4

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Determine if the vertex is a maximum or a minimum of the function.

f(x) = -21(x + 8)(x - 9)

• maximum

• minimum