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Alg Writing Quadratic Equations in Vertex Form and Standard Form

Authored by James Soder

Mathematics

8th - 10th Grade

CCSS covered

Used 8+ times

Alg Writing Quadratic Equations in Vertex Form and Standard Form
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40 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A parabola has a vertex at (1,6) and passes through (3,-18). Solve for "a" and use it to write the equation in vertex form.

Formula: f(x) = a(x - h)2 + k

f(x) = 3(x - 1)2 - 18

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

f(x) = 6(x - 3)2 - 18

f(x) = -3(x + 1)2 - 6

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Your teacher gives you an equation in vertex form and wants you to convert it to standard form. Which one of the following describes the steps in the correct order?

1- Distribute the "a" value.

2- Square the expression in parentheses.

3- Combine like terms.

1- Sketch the graph on the coordinate plane.

2- Identify 2 ordered pairs.

3- Use STAT-EDIT and STAT>CALC-Option 4 (LinReg)

1- Square the expression in parentheses.

2- Combine Like Terms.

3- Distribute the "a" value.

1- Square the expression in parentheses.

2- Distribute the "a" value.

3- Combine like terms.

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

A parabola has a vertex at (-1.5,12.5) and passes through (0,8). Solve for "a" and write the equation in vertex form.

Formula: f(x) = a(x - h)2 + k

y = -1.5(12.5 - 8)2

y = 2(x + 0)2 + 8

y = -2(x + 1.5)2 + 12.5

y = 8(x + 1.5)2 - 12.5

None of the above

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSG.GPE.A.2

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Convert the equation from vertex form to standard form:

y = -3(x + 5)2 - 4

y = 9x2 - 15x + 21

y = -3x2 - 75x - 4

y = 9x2 + 90x + 221

y = -3x2 - 30x - 79

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

Convert the equation into standard form:

y = -5(x + 2)2 - 10

y = -5x2 - 20x - 30

y = -5x2 - 4x - 10

y = 25x2 + 100x + 90

y = 25x2 - 10x - 30

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A parabola has a vertex at (6, 5) and passes through (10, -11). Which equation represents this parabola in vertex form?


Formula: f(x) = a(x - h)2 + k

-11 = a(10 - 6)2 + 5

y = -(10 - h)2 + k

y = -(x - 6)2 + 5

y = (x - 6)2 + 5

7.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

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

y = -2
x = 3
x = -3
y = 2

Tags

CCSS.8.G.A.3

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