Vertex Form to Standard Form

Front

What is the vertex of the quadratic function 3x² - 24x + 46?

Back

(4, -2)

Front

What is the vertex of the quadratic function y = x² - 8x + 20?

Back

(4, 4)

Front

What is the equation in vertex form with a vertex of (-5, -3) and a point of (-4, -5)?

Back

y = -2(x + 5)² - 3

Front

What is the vertex of the quadratic function x² - 8x + 17?

Back

(4, 1)

Front

What is the vertex of the quadratic function y = -2x² - 16x - 31?

Back

(-4, 1)

Front

Define vertex form of a quadratic function.

Back

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

Front

How do you convert from vertex form to standard form?

Back

Expand y = a(x - h)² + k to get y = ax² - 2ahx + (ah² + k).

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 a quadratic function indicate?

Back

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

Front

How do you find the x-coordinate of the vertex from standard form?

Back

Use the formula x = -b/(2a).