Module 11 Quadratic Review

Front

What is the product of f(x) = 2x + 4 and g(x) = 3x² - 1?

Back

6x³ + 12x² - 2x - 4

Front

What does the function f(x) = 5(x - 2)² represent in terms of transformations?

Back

It represents a translation of 2 units to the right and a vertical stretch by a factor of 5.

Front

Explain the translation of the function y = (x + 14)².

Back

It is translated left 14 units.

Front

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

Back

The vertex is (-5, -4).

Front

What is the standard form of a quadratic function?

Back

The standard form is y = ax² + bx + c.

Front

What does the 'a' value in the quadratic function y = ax² + bx + c determine?

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and the width of the parabola.

Front

What is the axis of symmetry for the quadratic function y = ax² + bx + c?

Back

The axis of symmetry is given by the formula x = -b/(2a).

Front

How do you find the y-intercept of a quadratic function?

Back

The y-intercept can be found by evaluating the function at x = 0.

Front

What is the vertex form of a quadratic function?

Back

The vertex form is y = a(x - h)² + k, where (h, k) is the vertex.

Front

What is the effect of changing the 'k' value in the vertex form of a quadratic function?

Back

Changing the 'k' value translates the graph vertically.