Find Quadratic Equation Given Graph

Find Quadratic Equation Given Graph

10th Grade

12 Qs

quiz-placeholder

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Find Quadratic Equation Given Graph

Find Quadratic Equation Given Graph

Assessment

Quiz

Mathematics

10th Grade

Practice Problem

Hard

CCSS
HSA-SSE.B.3B, HSF-IF.C.7A, HSF-IF.C.8A

Standards-aligned

Created by

Anthony Clark

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12 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Given the vertex, V(-4,-2), of a quadratic equation, find the equation if the graph passes through the point (-2,-6).

ƒ(x) = -(x+4)2-2

ƒ(x) = (x+4)2-2

ƒ(x) = -(x-4)2-2

ƒ(x) = (x-4)2+2

2.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Media Image

Which equation could match the graph?

y = (x + 1)(x + 4)

y = (x - 1)(x - 4)

y = (x - 4)(x - 4)

y = (x + 2.5)(x + 4)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

3.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Media Image

Write a quadratic equation given the x intercepts and one other point.

Step 1: Write the factors.

The intercepts of this function are (6, 0) and (8, 0). Write the factors.

(x-6) and (x-8)

(x+6) and (x+8)

(x-6) and (x+8)

(x+6) and (x-8)

Tags

CCSS.HSF-IF.C.7A

4.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Which of the following equations matches standard form of a quadratic?

ax + by = c

y = a(x - h)2 + k

y = ax2 + bx + c

y = mx + b

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What are the solutions of the quadratic equation represented by the graph?

-2 and 3

-1/2 and -6

-2 and -6

3 and -6

6.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Media Image

What are the solution(s)?

x=3

x=7

x=5

x=-4

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Write a quadratic equation given the x intercepts and one other point.

Step 3: Write the equation in factored form.

Now, you know that the factors are (x-6) and (x-8) and a = -1. Write the equation of the graph in factored form.

-(x-6)(x-8)

-(x+6)(x+8)

(x-6)(x+8)

(x+6)(x-8)

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