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Understanding Parabolas and Their Graphs

Understanding Parabolas and Their Graphs

Assessment

Interactive Video

•

Mathematics

•

8th - 10th Grade

•

Practice Problem

•

Hard

•
CCSS
HSF-IF.C.7A

Standards-aligned

Created by

Sophia Harris

FREE Resource

Standards-aligned

CCSS.HSF-IF.C.7A
The video tutorial explains how to match a graph to the equation of a parabola in vertex form. It covers identifying the vertex and axis of symmetry, determining the direction the parabola opens based on the value of 'a', and verifying the correct graph using the y-intercept. The tutorial also demonstrates how changing the value of 'a' affects the parabola's shape, using an animation to illustrate these transformations.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the coefficient 'a' in the parabola equation determine?

The color of the graph

The direction the parabola opens

The length of the parabola

The number of vertices

Tags

CCSS.HSF-IF.C.7A

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is true if 'a' is less than zero?

The parabola has no vertex

The parabola opens upwards

The parabola opens downwards

The parabola is a horizontal line

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation y = a(x-h)^2 + k, what does the point (h, k) represent?

The slope of the line

The vertex of the parabola

The axis of symmetry

The y-intercept

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the axis of symmetry for the equation y = -4(x-1)^2 - 2?

x = -1

x = 1

x = 0

x = 2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the vertex of the parabola given by y = -4(x-1)^2 - 2?

(-1, 2)

(1, 2)

(1, -2)

(-1, -2)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you determine if a parabola is vertically stretched or compressed?

By counting the number of roots

By analyzing the value of 'a'

By checking the y-intercept

By looking at the vertex

Tags

CCSS.HSF-IF.C.7A

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the y-intercept of the parabola given by the equation y = -4(x-1)^2 - 2?

(0, -4)

(0, -2)

(0, 0)

(0, -6)

Tags

CCSS.HSF-IF.C.7A

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