QUADRATICS

VOCABULARY

100

The u-shaped graph shown by a quadratic.

What is a PARABOLA?

200

The line that passes through the vertex and divides a parabola into two symmetric parts.

What is the AXIS OF SYMMETRY?

300

The  point on a parabola where it changes direction.

What is the VERTEX?

400

These are 4 names for the place or places a parabola crosses the x-axis.

What are x-intercepts, solutions, roots and zeros?

500

This is the standard form of a quadratic equation.

What is ax^2 + bx + c = 0 ?

AXIS OF SYMMETRY

100

This is the formula for the axis of symmetry.

What is x = -b/2a ?

200

This is the axis of symmetry for the equation y = 2x^2 + 8x – 5.

What is x = -2?

300

This is the axis of symmetry for y=3x^2+6x-2

What is x = -1?

400

This is the axis of symmetry for y = -4x^2 + 3.

What is x=0?

500

This is the axis of symmetry for y = -2x^2 + 8x + 12.

What is x = 2?

VERTEX

100

The vertex of y = 2x^2 + 16x - 1 is this ordered pair.

What is (-4,-33)?

200

y = 4x^2 + 7 has its vertex at this point

What is (0,7)?

300

The vertex of y = x^2 is this ordered pair.

What is (0,0)?

400

This point is the vertex of y = -3x^2 + 18x - 13.

What is (3,14)?

500

The vertex of y = -4x^2 + 3 is this.

What is (0,3)?

SOLVE QUADRATICS BY FACTORING

100

The roots of f(x)= x^2 - 4x - 21 are these numbers.

What are -3 and 7?

200

These are the solutions to the equation x^2 - 25 = 0.

What are -5 and 5?

300

Solve: x^2 + 8x + 16 = 0.

What is -4?

400

The zeros of 2x^2 + 4x - 6 = 0 are these.

What are -1 and 3?

500

Solve: x^2 + 4x = 0

What are -4 and 0?

GRAPHS

400

Determine the roots using your calculator x^2-x-2

What are 2 and -1?

500

FINAL JEOPARDY: Determine the roots by graphing: y = 2x^2 - 12x + 16

What are 2 and 4?