Rewriting Quadratics in Factored Form and Standard Form

What is the name of this form of a quadratic equation:

• vertex form

• standard form

• factored form

• zero form

Find the vertex of

f(x) = -(x+6)(x-2)

• (-2, 16)

• (2, 0)

• (2, 4)

• (-2, 4)

In factored form you can see the ______ of the graph easily.

• y-intercept

• vertex

• x-intercepts

Tags

CCSS.HSF-IF.C.7A

• x²+9

• x²-10x+9

• x²-10x-9

• x²+10x+9

Tags

CCSS.HSA.APR.A.1

• Quadratic equation

• Cubic equation

• Linear equation

• Exponential equation

Standard form of a quadratic equation

• y=x²

• y=ax²+bx+c

• y=mx+b

• y=x

Write the equation of the following in factored form:
y = a(x - p)(x - q)

• y = (x - 5)(x - 9)

• y = (x + 5)(x + 9)

• y = -1(x - 5)(x - 9)

• y = -1(x + 5)(x + 9)

Tags

CCSS.HSF-IF.C.7A

Given: vertex (1, 18) and zeros -2 and 4 What is the equation of the quadratic function in factored form?

• y = 2(x -2) (x + 4)

• y = -2 (x + 2)(x - 4)

• y = 1/2 (x+ 2) (x - 4)

• y = -1/2 ( x + 2) ( x - 4)

Write a quadratic equation in factored form that can be represented by the graph that passes through the points (-8, 0), (-6, 0) and (-5, 6).

Mathematical Equivalence

ON

Tags

CCSS.HSF-IF.C.7A

• y = -x(x + 4)
• y = x(x + 4)
• y = -x(x - 4)
• y = x(x - 4)

Tags

CCSS.HSF-IF.C.7A