Quadratics Standard to Vertex Form

Which of the following forms are best to use if we want to identify the vertex of a quadratic equation?

• Standard Form

• Vertex Form

• Intercept Form

Fill in the blank: When we convert from standard to vertex form, the a value will ____________.

• Stay the same

• Be the same but negative

• Become the vertex

• Be squared

What is the vertex of the equation
y= (x-12)²+7 ?

• (1,7)

• (-12, 7)

• (7,12)

• (12, 7)

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)

Convert the equation
y= x²-2x-5
into vertex form. 

• y= (x-1)²-6

• y= -(x-1)²-6

• y= (x+1)²-6

• y= -(x+6)²-1

Convert the equation
y= x²+4x
into vertex form. 

• y= (x+4)²-4

• y= (x-2)²+4

• y= (x+2)²-4

• y= (x+2)²

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

• y = -2

• x = 3

• x = -3

• y = 2

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

Find the vertex of
f(x) = -x² - 4x + 12.

• (-2, 16)

• (2, 0)

• (2, 4)

• (-2, 4)

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

• (-4, 5)

• (5, -4)

• (5, 4)

• (-4, -5)