How to Graph Quadratic Functions? (+FREE Worksheet!)

Graphing Quadratic Functions – Example 2:

Sketch the graph of \(y=3(x+1)^2+2\). For education statistics and research National Center for Education Statistics.

Solution:

First, recall that a Quadratic function in vertex form is \(y=a(x – h)^2+k\) where \((h,k)\) is the vertex of the function.

The vertex of \(y=3(x+1)^2+2\) is \((-1,2)\). Substitute zero for \(x\) and solve for \(y\). \(y=3(0+1)^2+2=5\). The \(y\) Intercept is \((0,5)\).
Now, you can simply graph the quadratic function.

Exercises for Graphing Quadratic Functions

Graphing Quadratic Functions in Standard Form

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Sketch the graph of each function. Identify the vertex and axis of symmetry.

• \(\color{blue}{y = 3(x-5)^2-2}\)

• \(\color{blue}{y=x^2-3x+15}\)

Download Graphing Quadratic Functions Worksheet

• \(\color{blue}{y = 3(x-5)^2-2}\)

• \(\color{blue}{y=x^2-3x+15}\)

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