Intercept Form 10.2 Extension

Intercept Form 10.2 Extension

Quadratic Functions in Factored Form

Multiple Select

What is the axis of symmetry? Select ALL that apply

• It divides the parabola in half

• $x\ =\ \frac{b}{2a}$ Use this to calculate it

• $x\ =\ \frac{-b}{2a}$ Use this to calculate it

• It is a point on parabola

Multiple Select

The solutions to a quadratic function are which of the following? Select ALL that apply

• y-intercept

• x intercept(s)

• vertex

• zeros of the function

• roots of the functions

Open Ended

How do you find the vertex of a parabola?

Multiple Choice

Factor the following:

 $x^2+11x+24$  

•  $\left(x+6\right)\left(x+4\right)$  

•  $\left(x+5\right)\left(x+6\right)$  

•  $\left(x+3\right)\left(x+8\right)$  

Key Features of a Quadratic Function

• Vertex

• Axis of Symmetry $x\ =\ \frac{-b}{2a}$  

• Minimum or Maximum Value

• y - intercept (c-value)

• x - intecepts (solutions, zeros, roots)

Video on Graphing in Intercept Form

https://www.youtube.com/watch?v=8AdUjJO4tZM

Graphing with intercept form (factored form)

 $y\ =\left(x-3\right)\left(x+2\right)$  

• Identify the x-intercepts and plot

• Find the axis of symmetry, (half way in between x - intercepts)

• Plug in axis of symmetry for x into equation and solve for y to get the vertex

• Multiply the binomial to get the y-intercept

• Plot the y-intecept and reflect it

Graphing with intercept form (factored form)

 $y\ =-\left(x+2\right)\left(x+4\right)$  

• Identify the x-intercepts and plot

• Find the axis of symmetry, (half way in between x - intercepts)

• Plug in axis of symmetry for x into equation and solve for y to get the vertex

• Multiply the binomial to get the y-intercept

• Plot the y-intecept and reflect it