Transforming Quadratic Function from Standard to Vertex Form

What do we call the highest or lowest point of a quadratic?

• parabola
• vertex
• graph
• point

What is the vertex?

• (2, 4)
• (3, -1)
• (0, 8)
• (4, 2)

Tags

CCSS.HSF-IF.C.7A

 $y=-3(x+5)^2-4$  
Convert the equation from vertex form to standard form.

• y = 9x² - 15x + 21

• y = -3x² - 75x - 4

• y = 9x² + 90x + 221

• y = -3x² - 30x - 79

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Which of the following shows
f(x) = x² + 12x - 2
written in vertex form?

• f(x) = (x + 6)² + 142
• f(x) = (x + 6)² - 34
• f(x) = (x + 6)² - 38
• f(x) = (x + 6)² + 34

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Which of the following equations is in vertex form?

• f(x) = x² + 6x - 2
• f(x) = (x - 1)² + 2

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)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

The axis of symmetry line passes through which point?

• y-intercept
• any random point
• vertex
• symmetrical point for the vertex

Write the given equation in vertex form:

y=x²+16x+100

• y=(x+8)²+36

• y=(x+8)²-36

• y=(x-8)²+164

• y=(x+8)²

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3