Alg 2 Fall Final 23.24

Front

What is the vertex of the parabola given by the equation y = 3(x + 5)² - 4?

Back

(-5, -4)

Front

What is the range of the graph of the function y = 3(x + 5)² - 4?

Back

1 ≤ y ≤ 5

Front

Factor the quadratic expression x² + 11x + 24.

Back

(x + 8)(x + 3)

Front

What is the domain of the function represented by the equation y = 3(x + 5)² - 4?

Back

-3 < x ≤ 3

Front

What is the axis of symmetry for the equation y = ½(x - 4)² - 4?

Back

x = 4

Front

Define the vertex of a parabola.

Back

The vertex is the highest or lowest point on the graph of a parabola.

Front

What is the standard form of a quadratic equation?

Back

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

Front

Explain what the range of a function is.

Back

The range is the set of all possible output values (y-values) of a function.

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors.

Front

What is the significance of the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves.