Quadratics

5.4 Practicing Graphing … Heading to a BIG IDEA!

Lesson materials located below the video overview.

SETTING THE SCENE

We’ve been adjusting the equation \(y=x^2\) to give new equations whose graphs are the same U-shaped graph we see from \(y=x^2\) but shifted horizontally, shifted vertically, and made steeper or broader and upward or downward facing.

 

For example, if asked to

Sketch \(y=3\left(x-5\right)^2+10\),

we can first recognize this as the basic \(y=x^2\) equation

but with \(x=5\) behaving like zero

and made steeper with a steepness factor of \(3\)

and with all data points shifted \(10\) units higher.

The following picture summarises all that we just saw …

 

READ MORE HERE: QUADRATICS PD Essay 5.4

(See too Edfinity.com/XXX for a robust source of curriculum practice problems for you collate, organise, and use.)

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