Math 2 Honors - Quadratic Forms, Writing Equations

Convert the equation y= 8x²-16x+27 into vertex form.

• y=8(x+1)²+19
• y= -8(x-1)²+19
• y=8(x-1)²+19
• y=(x-1)²+8

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Convert
 f(x) = -4(x - 1)² +7
to standard form.

• f(x) = -4x² + 3
• f(x) = -4x² - 8x + 17
• f(x) = -4x² +8x - 11
• f(x) = -4x² +8x + 3

A quadratic equation has a vertex form of y = -2(x - 1)² - 2. Which of the following is equivalent to this form?

• y = 2x² - 4x + 4

• y = -2x² + 4x - 4

• y = -2x² - 4x + 4

• y = 2x² + 4x - 4

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

What is the vertex for y = -4x² - 32x - 59

• (-4, 5)
• (5, -4)
• (5, 4)
• (-4, -5)

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Write the equation of the quadratic function that has a vertex of (-2, 6) and passes through the point (-1, 3).

• y = 1/3 (x + 2)² + 6
• y = -3(x + 2)² + 6
• y = -3(x - 2)² + 6
• y = -(x + 1)² + 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

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)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.B.3