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Secant Lines and Quadratic Functions

Secant Lines and Quadratic Functions

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
8.F.B.4, 8.EE.B.5, HSF-IF.C.7A

+3

Standards-aligned

Created by

Amelia Wright

FREE Resource

Standards-aligned

CCSS.8.F.B.4
,
CCSS.8.EE.B.5
,
CCSS.HSF-IF.C.7A
CCSS.HSA-SSE.B.3B
,
CCSS.HSF-IF.C.8A
,
CCSS.HSF.IF.B.6
,
The video tutorial explains how to find the equation of a secant line that intersects a curve at two points. It begins by introducing the problem and graphing the function y = x^2 - 4, identifying its x-intercepts. The tutorial then focuses on finding the specific points on the secant line and calculating its slope using the formula m = (y2 - y1) / (x2 - x1). Finally, it derives the equation of the secant line using the point-slope formula and concludes with a call to action for viewers to subscribe.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main objective of the problem discussed in the video?

To find the x-intercepts of a curve

To determine the equation of a secant line

To solve a quadratic equation

To calculate the area under a curve

Tags

CCSS.HSF-IF.C.7A

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the shape of the graph of y = x^2 - 4?

A circle

A straight line

An upward-opening parabola

A downward-opening parabola

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the graph of y = x^2 - 4 different from y = x^2?

It is shifted 4 units to the right

It is shifted 4 units upwards

It is shifted 4 units downwards

It is reflected over the x-axis

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the x-intercepts of the curve y = x^2 - 4?

x = 0 and x = 4

x = -1 and x = 1

x = -2 and x = 2

x = -4 and x = 4

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the coordinates of the points where the secant line intersects the curve?

(-2, 0) and (2, 0)

(0, -4) and (2, 0)

(-1, 0) and (2, 3)

(-1, -3) and (2, 0)

Tags

CCSS.8.EE.B.5

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the slope of the secant line calculated?

Using the formula m = x1 - x2 / y1 - y2

Using the formula m = x2 - x1 / y2 - y1

Using the formula m = y2 - y1 / x2 - x1

Using the formula m = y1 - y2 / x1 - x2

Tags

CCSS.8.EE.B.5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the slope of the secant line?

0

1

2

3

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