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Quadratic Equations Given Two Points

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Quadratic Equations Given Two Points
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What are the green points called?

axis of symmetry

vertex

y-intercept

x-intercepts

Tags

CCSS.HSF-IF.C.7A

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Determine the x-intercepts

(8,0) and (4,0)

(8,0) and (-4,0)

(-8,0) and (4,0)

(.25,0) (8,0) and (-4,0)

Tags

CCSS.HSF-IF.C.7A

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which of the following is the correct equation for the given graph?

y = (x - 2)2 - 1

y = -(x + 2)2 - 1

y = (x + 2)2 - 1

y = -(x - 2)2 - 1

Tags

CCSS.HSF-IF.C.7A

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write the equation of the quadratic function that has a x-intercepts at (2, 0) and (4, 0) and passes through the point (3, 4).

y = -4(x - 2)(x - 4)

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

y = 4(x - 2)(x - 4)

y = -0.25(x - 2)(x - 4)

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write a quadratic equation given the x intercepts and one other point. Put the steps together. Find the factors. Solve for a by substituting in the extra point. Write the equation in factored form. The roots of the function are (-3, 0) and (5, 0). The point (4, -3) is also on the graph.

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

y=3/7(x-3)(x+5)

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

y=3/7(x+3)(x-5)

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Put the steps together.

  1. Find the factors.
  2. Solve for a by substituting in the extra point.
  3. Write the equation in factored form.


The roots of the function are (-3, 0) and (5, 0).

The point (4, -3) is also on the graph.

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

y=3/7(x-3)(x+5)

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

y=3/7(x+3)(x-5)

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write the equation of the quadratic function that has a x-intercepts at 2 and 4 and passes through the point (3, 4).

y = -4(x - 2)(x - 4)

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

y = 4(x - 2)(x - 4)

y = -0.25(x - 2)(x - 4)

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