2.3 Flashcard Review

Front

Factor the quadratic expression: 2b² + 17b + 21

Back

(2b + 3)(b + 7)

Front

Factor the quadratic expression: x² - 2x - 15

Back

(x - 5)(x + 3)

Front

Find 'a' for the factored form of a quadratic with x-intercepts at (2,0) and (1,0) that passes through (5,-4): -4 = a( 5 - 2)(5 - 1)

Back

This expression helps find the value of 'a'.

Front

Write an equation for the length of a rectangle where the length is two less than twice the width.

Back

l = 2x - 2

Front

Find 'a' for the factored form of a quadratic with x-intercepts at (-4,0) and (3,0) that passes through (2,1): 1 = a( 2 + 4)(2 - 3)

Back

This expression helps find the value of 'a'.

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c, where a, b, and c are constants.

Front

What are the x-intercepts of a quadratic function?

Back

The points where the graph of the function crosses the x-axis.

Front

Define a quadratic function.

Back

A function that can be expressed 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, depending on its orientation.

Front

How do you find the axis of symmetry for a quadratic function?

Back

x = -b/(2a), where a and b are coefficients from the standard form.