Completing the Square and Vertex Form Practice

Which of the following equations shows the vertex form of a quadratic?

• y = ax² + bx + c

• y = a(x - h)² + k

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

In Vertex form, f(x) = a(x - h)²+ k, what does the h stand for?

• the y-coordinate of the vertex
• the x-coordinate of the vertex
• the x-intercept
• the y-intercept

Tags

CCSS.HSF.IF.C.7

Using Vertex Form, f(x) = a(x - h)²+ k, how do you write the equation for the Axis of Symmetry?

• x = h
• y = k
• x = a
• y = h

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

In Vertex form, f(x) = a(x - h)²+ k, what does the k stand for?

• the y-coordinate of the vertex

• the x-coordinate of the vertex

• the x-intercept

• the y-intercept

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

• Vertical compression (wider)

• Vertical stretch (narrower)

• Vertical compression (wider) and reflection over x-axis

• Vertical stretch (narrower) and reflection over x-axis

Tags

CCSS.HSF.BF.B.3

What is the vertex of the parabola: y=2(x-3)²+4

• (3,4)
• (-3,4)
• (3, -4)
• (-3,-4)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

• (-3, 5)

• (3, 5)

• (-3, -5)

• (3, -5)

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Identify the vertex and whether the graph opens up or down.

• (5, 2); opens up
• (5, 2); opens down
• (-5, 2); opens up
• (-5, 2); opens down

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is the constant that should be added to the expression to complete the square:  x² + 12x + ___ 

• 12

• 36

• 24

• 6

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3