Building Quadratic Functions: Key Concepts and Techniques

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.

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

What is the form of an exponential equation?

• y = a * b^x

• y = x^2 + c

• y = mx + b

• y = a + bx

Tags

CCSS.HSF-LE.A.1A

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

Tags

CCSS.HSF-IF.C.8B

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

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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

• 8

• 12

• 20

• 32

Tags

CCSS.8.EE.B.5

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

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

• 2

• 5

• 3

• 1

What is the form of a quadratic equation as introduced in the video?

• y = mx + b

• y = a * b^x

• y = x^2 + c

• y = ax^2 + bx + c

What should you do after watching the video to reinforce your learning?

• Take a break

• Read a textbook

• Watch another video

• Complete the identifying functions practice in the modules

When will the answers for the identifying functions practice be posted?

• Sunday

• Friday

• Wednesday

• Monday