Vertex Form and Factoring

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1
• f(x) = (x + 2)² - 1
• f(x) = -(x + 2)² - 1
• f(x) = -(x - 2)² - 1

Tags

CCSS.HSF-IF.C.7A

 $f\left(x\right)=-\left(x-4\right)^2+1$  

Choose the correct graph of the equation.

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Tags

CCSS.HSF-IF.C.7A

Explain the translation:

y = (x + 9)² + 5 (Write your answer as 2 movements. Example: "left 3 and down 4")

A parabola has a vertex at (-3,2).

Where is the axis of symmetry is ______?

What is the y-intercept of

f(x)=2x² + 4x + 6

Hint: What must be the value of x? [Write your answer as a POINT, (x, y).]

Factor:  2x² - 5x + 2

• (2x - 1)(x - 2)
• (2x + 1)(x - 2)
• (2x - 2)(x - 1)
• (2x + 2)(x - 1)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Solve by factoring. (what do they have in common)

n² - 2n = 0 (Write your answer as "m and n" where m & n are the solutions.)

Solve: b² = -35 + 12b (Write your answer as "m and n" where m & n are the solutions.)

What do the "Zeros" represent on a quadratic equation graph? (Check all that apply)

• x-intercepts

• y-intercepts

• vertex

• roots

Tags

CCSS.HSF-IF.C.7A

What is the next step in solving

(x + 2)(x - 3) = 0 ?

• Plug in zero for x

• Solve for x

• FOIL

• Set each factor equal to zero