Discovering the Discriminant

Presentation

•

Mathematics

•

9th - 12th Grade

•

Hard

•

CCSS

HSA.APR.B.3, HSA.REI.D.11

Standards-aligned

Jill Stallings

FREE Resource

4 Slides • 4 Questions

Another way to solve a quadratic...

Algebra 2

Multiple Select

Select ALL of the names for the points where the graph of a parabola crosses the x-axis.

x-intercepts

Zeroes

Roots

Solutions

Categorize

Options (9)

$y=2x^2-3x-10$

$y=3x^2+6x-4$

$y=x^2+6x+8$

$y=x^2-4x+4$

$y=x^2-6x+9$

$y=x^2$

$y=-x^2+6x-11$

$y=x^2-8x+20$

$y=3x^2-x+2$

Graph each equation using Desmos. Classify the equations by the number of x-intercepts it has.

2 x-intercepts

1 x-intercept

0 x-intercepts

Another way to solve a quadratic...

On your paper, Calculate the Discriminant for each Quadratic Equation.

Categorize

Options (9)

$y=2x^2-3x-10$

$y=3x^2+6x-4$

$y=x^2+6x+8$

$y=x^2-4x+4$

$y=x^2-6x+9$

$y=x^2$

$y=-x^2+6x-11$

$y=x^2-8x+20$

$y=3x^2-x+2$

Using the discriminants that you calculated. Classify the equations by the value of the discriminant.

Positive

Zero

Negative

Match

What do you notice about the graphs and the discriminant?

When the graph has 2 x intercepts.....

When the graph has 1 x-intercept....

When the graph has no x-intercepts...

the discriminant is positive.

the discriminant is zero.

the discriminant is negative.

Another way to solve a quadratic...

Algebra 2

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