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Three Forms of a Quadratic Equation

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Three Forms of a Quadratic Equation
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What form of a Quadratic is this equation?

Vertex Form

Vertex: (-4, -6)

Standard Form

y-intercept: (0, -6)

Factored Form

Zeros: x = 4 & x = -6

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What form of a Quadratic is this equation?

y = 3(x - 6)(x + 3)

vertex

standard

Factored

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Standard Form,

y-intercept (0, -2)

Factored Form

x-intercepts

(3, 0 ) & (-2, 0)

Vertex Form

Vertex (3, -2)

Vertex Form

(-3, -2)

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Standard Form

y -int (0, -3)

Factor Form

x = 3 & x = -2

Vertex Form

AOS x = 3

Vertex Form

x = -3

5.

MATCH QUESTION

1 min • 4 pts

Match the following equations with their correct form.

Standard form of a quadratic equation

f(x) = ax2 + bx + c

Quadratic Formula

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

Vertex Form

f(x) = a(factor)(factor)

Factor Form

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If you were looking for the solutions, which form is the most convenient?

Standard Form

Vertex Form

Factored Form

None of These

7.

MATCH QUESTION

1 min • 1 pt

Match the following forms of equations with their correct descriptions.

Slope-intercept form of a linear equation

y = a(x - h)2 + k

Vertex form of a quadratic equation

y = ax2 + bx + c

Standard form of a quadratic equation

y = mx + b

Answer explanation

The correct choice is y = a(x - h)^2 + k, which represents the vertex form of a quadratic equation with the vertex at (h, k).

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