Day 145 – April 20

Algebra: Chapter 12, Lesson 4, page 552.

Quadratic Functions

A quadratic function is defined by `f(x) = ax^2 + bx + c`. To make it easier, just replace the `f(x)` with `y` and treat as you have done in the past.

With a function in standard form `ax^2 + bx + c`, the vertex is `-b/(2a)` and the axis of symmetry is `x = -b/(2a)`. The vertex is the point on the PARABOLA where the slope changes sign from positive to negative or vice-versa. The axis of symmetry, you recall, is the line when the parabola can be “flipped” or “folded over” and still be symmetrical in shape.

You should plot at least 5 points when making a graph of the equation and DO NOT use a ruler to connect the points, this is a parabola, NOT a linear equation.

Where the parabola crosses the x-axis are called the ROOTS of the equation. These are also the x-intercepts!

ROOTS, ZEROES, X-INTERCEPTS and ANSWERS ALL MEAN THE SAME THING!

You can find the ROOTS easily by setting y = 0 and solving the quadratic equation with the factoring techniques from Chapter 6 and 10

OR

making a graph and seeing the 2 points (up to actually) where the parabola crosses the x-axis.

Two of tonight’s homework problems solved by MrE are here! Just click it.

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Algebra 1a: CST Review – Area and perimeter of Triangles

Area, of a triangle, `A = (b*h)/2`. The Perimeter of a triangle is just a simple matter of adding the 3 sides together!

The worksheets today, D-56 and CC-51 will help us to be ready for these questions on the CST!

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