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Vertex to Standard
Standard to Vertex
y= attributes
x= attributes
Writing Equations
100

Convert the following problem to standard form.

y=2(x+2)2-6

y=2x2+8x+2

100

Convert the following problem to vertex form.

y=2x2+8x-14

y=2(x+2)2-22

100

Use the equation written on the board to identify the vertex and if it is a max, min, or neither.

Vertex (-4,-3) min

100

Use the equation written on the board to identify the vertex and if it is a max, min, or neither.

Vertex (5,2) neither

100

Find the quadratic equation in vertex form that passes through the points (-1,18); (1,6); and (2,9)

y=3(x-1)2+6

200

Convert the following problem to standard form.

y=-(x+6)2-10

y=-x2-12x-46

200

Convert the following problem to vertex form.

y=4x2+32x-23

y=4(x+4)2-87

200

Use the equation written on the board to identify the focus

(-4,1)

200

Use the equation written on the board to identify the focus.

(3,2)

200

Find the quadratic equation in vertex form that passes through the points (-4,-10); (-3,-11); and (-2,-10)

y=(x+3)2-11

300

Convert the following problem to standard form.

y=-(x-2)2+4

y=-x2+4x

300

Convert the following problem to vertex form.

y=5x2+60x+9

y=5(x+6)2-171

300

Use the equation written on the board to identify the directrix

y=-7

300

Use the equation written on the board to identify the axis of symmetry

y=2

300

Find the quadratic equation in vertex form that passes through the points (-5,0); (0,15); and (3,48)

y=(x+4)2-1

400

Convert the following problem to standard form.

y=4(x-5)2

y=4x2-40x+100

400

Convert the following problem to vertex form.

y=-2x2+12x+5

y=-2(x-3)2+23

400

Use the equation written on the board to identify the domain in both notations

(-inf,inf)

{xlxeR}

400

Use the equation written on the board to identify the domain in both notations

(-inf,5]

{xlx,5}

400

Write the quadratic equation that contains the focus (3,3) and directrix y=-3.

Your teacher will have the answer
500

Convert the following problem to standard form.

y=-3(x+1)2+1

y=-3x2-6x-2

500

Convert the following problem to vertex form.

y=-x2-16x+7

y=-(x+8)2+71

500

Use the equation written on the board to identify the range in both notations

[-3,inf)

{yly>-3}

500

Use the equation written on the board to identify the range in both notations

(-inf,inf)

{ylyeR}

500

Write the quadratic equation that contains the focus (1,2) and directrix x=5.

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