Building Quadratic Functions: Key Concepts and Techniques

Building Quadratic Functions: Key Concepts and Techniques

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Hard

Created by

Sophia Harris

FREE Resource

This video tutorial teaches how to build quadratic functions from geometric patterns, exploring exponential, linear, and quadratic functions through tables. It explains how to express quadratic functions symbolically in different ways and interpret them as functions. The video also covers writing expressions and equations for these functions, with practice exercises provided for reinforcement.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What will you learn by the end of this video?

How to build quadratic functions from geometric patterns

How to solve linear equations

How to graph exponential functions

How to differentiate between linear and quadratic functions

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the form of an exponential equation?

y = a * b^x

y = x^2 + c

y = mx + b

y = a + bx

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the exponential function example, what is the initial value (a) and the multiplier (b)?

a = 8, b = 3

a = 5, b = 6

a = 2, b = 4

a = 1, b = 2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the common difference in a linear function?

The exponent value

The initial value

The value you add by each time

The value you multiply by each time

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the slope (m) in the linear equation y = 8 + 12x?

8

12

20

32

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you identify a quadratic function using differences?

By checking if the first differences are the same

By checking if the second differences are the same

By checking if the values are multiplied by a constant

By checking if the values are added by a constant

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the second difference in the quadratic example where the values are 8, 9, 12, and 17?

2

5

3

1

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