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Warm UpConsider
a) Find the y-intercept, the axis, and the vertex
b) Make a table
c) Graph the functiond) State whether the
function has a minimum or maximum
e) Find the value of the min/max
Summary PageThis is an overview of all the different ways we can solve a quadratic function.
You are required to keep this page.
Pop QuizzesYou will have 5 pop quizzes this chapter.
At the end of the chapter I will average all five of your pop quiz grades for a test grade.
You will keep track of your pop quiz grades on the back of the summary page.
4.2 Solving by Graphing
Today we are learning how to solve a quadratic.
REVIEW: A general quadratic function is…
𝑎𝑥2+𝑏𝑥+𝑐
Solving by GraphingThe solutions of a quadratic are where the parabola crosses the x-axis.
How many solutions do you see?
Do you think it is possible to have a number of solutions other than 2?
Estimating RootsOften exact roots (whole numbers) cannot be found by graphing.
You will instead estimate the root(s) by stating which two X values the zero is between.
Big Picture𝒇 (𝒙 )=𝒙𝟐−𝟔 𝒙+𝟗
a) Find the y-intercept, the axis, and the vertexb) Make a tablec) Graph the function
d) State whether the function has a minimum or maximum
e) Find the value of the min/max
f) Find the roots
You Try!
a) Find the y-intercept, the axis, and the vertexb) Make a tablec) Graph the function
d) State whether the function has a minimum or maximum
e) Find the value of the min/max
f) Find the roots
𝒇 (𝒙 )=𝒙𝟐−𝟔 𝒙+𝟏𝟐