Writing Quadratic Equations in Different Forms

What is the equation, in standard form, of a parabola that contains the following points?

(-2, 18)

(0, 4)

(4, 24)

• y = -2x² + 3x - 4

• y = 2x² - 3x + 4

• y = -3x² + 2x + 4

• y = -4x² - 3x - 2

What is the equation, in standard form, of a parabola that models the values in the table?

• y = 2x² + 6x - 4

• y = -4x² - 6x + 2

• y = 4x² + 6x - 2

• y = 6x² + 4x - 2

What are the x- intercepts?

• x= 0 and x= -4
• x= 0 and x= 4
• y= 0
• x= 2

Tags

CCSS.HSF-IF.C.7A

Write the equation for the graph in factored form.

Tags

CCSS.HSF-IF.C.7A

Write the equation for the quadratic in factored form.

Write an equation in Factored Form, whose solutions are 7 and 3.

• y = (x - 7)(x - 3)

• y = (x + 7)(x + 3)

• y = (x + 7)(x - 3)

• y = (x - 7)(x + 3)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

• y = x(x + 7)

• y = x(x - 7)

• y = x( 7x )

• y = x( -7x )

Given the zeros below, what are the factors?

• (x+4) (x-2)
• (x+4) (x+2)
• (x-4) (x-2)
• (x-4) (x+2)

Tags

CCSS.HSF-IF.C.7C

Write the equation of the quadratic function that has a x-intercepts at 2 and 4 and passes through the point (3, 4).

• y = -4(x - 2)(x - 4)
• y = -4(x + 2)(x + 4)
• y = 4(x - 2)(x - 4)
• y = -0.25(x - 2)(x - 4)

Given the zeros , what is the quadratic equation?

• y=x² +6x -8
• y=x² +6x +8
• y=x² -2x -8
• y=x² -2x +8

Tags

CCSS.HSA.APR.B.3