4.5 Warm Up 12.04.24

Front

Factor completely: 5x² - 7x + 2

Back

(5x - 2)(x - 1)

Front

What is another word that describes the zeroes of a quadratic function?

Back

x-intercepts

Front

What are the solutions of the graph of the equation?

Back

-2 and 3

Front

Solve by factoring: x² - 6x + 5 = 0

Back

5, 1

Front

Solve by taking square roots: (x + 2)² = 25

Back

x = -7 or 3

Front

What is a quadratic function?

Back

A polynomial function of degree 2, typically in the form f(x) = ax² + bx + c.

Front

What is the vertex of a parabola?

Back

The highest or lowest point of the parabola, found at the axis of symmetry.

Front

What is the axis of symmetry in a quadratic function?

Back

A vertical line that divides the parabola into two mirror images, given by x = -b/(2a).

Front

What does the discriminant tell us about a quadratic equation?

Back

It indicates the nature of the roots: positive (two real roots), zero (one real root), negative (no real roots).

Front

How do you find the x-intercepts of a quadratic function?

Back

Set the function equal to zero and solve for x.