Quadratic Functions Review

Properties of Quadratics

100

What is represented by the expression b²-4ac

What is the disrciminant.

200

The variable h represents what kind of transformation and what is important to remember about it?

What is a horizontal shift. Remember it is always opposite!

300

This is the best form to identify the zeroes of a quadratic function.

What is factored form? (x+#)(x+#)

400

This is the best form to identify the vertex of a quadratic function.

What is a vertex form. y=a(x-h)²+k

500

This is the best form to identify the y-intercept.

What is standard form. y=ax²+bx+c

Maxima and Minima

100

On a quadratic function, this is the point that will be the maximum or minimum of the function.

What is the vertex?

200

We can use this form of the quadratic function to easily identify the function's maximum or minimum.

What is vertex form?

300

For the function x² + 5x + 4, what is the vertex?

What is (-2.5,-2.25)

400

What is the vertex point for the function x + 6x + 6.

What is (-3, -3)?

500

A ball moves along the line h(t) = -5t²+30t+1.5, where h is in meters and t is in seconds. What is the maximum height the ball can reach?

What is 46.5 m?

Solving Quadratic Equations

100

Solve: x²-10=6

What is a -4 and 4.

200

Solve 2x²+30=22

What is no real solution.

300

The zeros of the equation 2x² - 10x - 12 = 0.

What are x = 6 and x = -1?

400

The zeros of the equation 2x² + 5x + 3 = 0?

What are x = -3/2 and x = -1?

500

The zeros of the equation x² - 7x + 13.

What is no solution?