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Understanding X-Intercepts in Quadratics

Understanding X-Intercepts in Quadratics

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Emma Peterson

FREE Resource

The video tutorial explains how changing a quadratic equation from y = (x - 3)(x + 5) to y = (x + 3)(x + 5) affects its x-intercept. It describes the intercept form of a quadratic equation and how the transformation changes the x-intercept from x = 3 to x = -3. The tutorial concludes with identifying the correct answer to the problem, emphasizing the importance of understanding the intercept form and its impact on the graph of the equation.

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7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial quadratic equation discussed in the video?

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

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

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

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

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the intercept form of a quadratic equation, what do the values of p and q represent?

The slope of the line

The vertex of the parabola

The y-intercepts of the graph

The x-intercepts of the graph

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What was the original x-intercept of the equation before any changes?

x = 5

x = -5

x = 3

x = -3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does changing x-3 to x+3 in the equation affect the x-intercept?

It changes the x-intercept to x = -5

It changes the x-intercept to x = 3

It changes the x-intercept to x = -3

It changes the x-intercept to x = 5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the new x-intercept after the equation is modified?

x = 5

x = -3

x = -5

x = 3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the coordinate of the new x-intercept point?

(0, 3)

(-3, 0)

(3, 0)

(0, -3)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which answer choice correctly describes the effect of the change in the equation?

Changes the x-intercept to (-3, 0)

Changes the x-intercept to (3, 0)

Changes the x-intercept to (5, 0)

Changes the x-intercept to (-5, 0)

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