Standard to Vertex Form Quadratic

Write the given equation in vertex form:

• y=(x+3)²+7

• y=(x+3)²-11

• y=(x+6)²-2

• y=(x-3)²-38

Write the given equation in vertex form:

y=x²+10x-5

• y=(x+10)²-105

• y=(x+5)²+25

• y=(x+5)²+20

• y=(x+5)²-30

Write the given equation in vertex form:

y=x²+12x-5

• y=(x+6)²-31

• y=(x+6)²-41

• y=(x+12)^2-5

• y=(x-6)²-31

Write the given equation in vertex form:

y=x²-14x+2

• y=(x+7)²-47

• y=(x-7)²-51

• y=(x-14)²+2

• y=(x-7)²-47

The graph of a quadratic function is shown. The vertex and two points are labeled. Drag and drop the numbers and operations to write the equation for the parabola in vertex form. y = ​ (a)   (x​​ (b)   (c)   )² - (d)  

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• 12

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Which of the following is the correct equation for the given graph? (a)  

• f(x) = -(x + 2)2 - 4

• f(x) = -(x - 2)2 - 4

• f(x) = -3(x - 2)2 - 4

• f(x) = -3(x + 2)2 - 4

Tags

CCSS.HSF-IF.C.7A

The graph of a quadratic function is shown. The vertex and two points are labeled. Drag and drop the numbers and operations to write the equation for the parabola in vertex form. y = ​ (a)   (x​​ (b)   (c)   )² - (d)  

• -

• 1

• 6

• 12

• 4

• 8

• +

Which answer choice(s) below correctly show(s) an equation in vertex form and in its standard form? (There may be more than 1.)

• y = -3(x + 2)² + 3

  y = -3x² - 12x - 15

• y = 2(x + 5)² + 1

  y = 2x² + 20x + 51

• y = 0.5(x - 3)² - 6

  y = 0.5x² - 3x - 1.5

Identify the vertex and whether the graph opens up or down. (a)  

• (5, 2); opens up

• (5, 2); opens down

• (-5, 2); opens up

• (-5, 2); opens down

Write a quadratic function in standard form whose vertex is at the point (-1, 1) that opens down.

• f(x) = -2(x + 1)² + 1

• f(x) = -2(x - 1)² + 1

• f(x) = -2(x + 1)² - 1

• f(x) = 2(x - 1)² + 1