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Understanding Parabolas and Quadratics

Understanding Parabolas and Quadratics

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Lucas Foster

FREE Resource

The video tutorial discusses graph shifts, focusing on determining the direction of shifts using substitution and understanding the role of axes. It explains how to identify the vertex of a parabola and draw the graph accurately, including finding intercepts and ensuring correct scale. The tutorial concludes with a discussion on symmetry and finalizing the graph.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What method can be used to determine the direction of a graph shift?

Asking a friend

Drawing the graph

Substituting values into the equation

Using a calculator

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which axis is affected by the horizontal shift in a parabola?

Vertical axis

Diagonal axis

Horizontal axis

None of the above

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does a positive sign in the equation affect the vertical shift?

It shifts the graph upwards

It shifts the graph to the right

It has no effect

It shifts the graph downwards

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the general form of a quadratic equation used to find the y-intercept?

ax^2 + bx + c

y = a(x - h)^2 + k

y = mx + b

x^2 + y^2 = r^2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What value do you substitute for x to find the y-intercept?

x = 1

x = -1

x = 2

x = 0

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the axis of symmetry for the parabola in the video?

y = 2

y = 0

x = 2

x = 0

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the vertex form of a parabola?

y = a(x + h)^2 - k

y = mx + b

y = a(x - h)^2 + k

y = ax^2 + bx + c

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