Quadratic Functions-Vertex and Standard Form

Front

What is the standard form of a quadratic function?

Back

y = ax² + bx + c

Front

What is the vertex form of a quadratic function?

Back

y = a(x - h)² + k

Front

How do you find the vertex of a quadratic function in standard form?

Back

Use the formula h = -b/(2a) and k = f(h).

Front

What is the axis of symmetry in a quadratic function?

Back

The line that divides the parabola into two mirror images, given by x = h for vertex form.

Front

What is the vertex of the function f(x) = x² - 4x + 12?

Back

(2, 8)

Front

If the vertex of a parabola is (2, -1), what is the axis of symmetry?

Back

x = 2

Front

Find the axis of symmetry for f(x) = x² - 8x + 15.

Back

x = 4

Front

What does the 'a' value in a quadratic function indicate?

Back

It determines the direction of the parabola (upward if a > 0, downward if a < 0).

Front

What is the significance of the 'h' and 'k' in vertex form?

Back

They represent the x and y coordinates of the vertex (h, k).

Front

How can you convert from standard form to vertex form?

Back

Complete the square on the quadratic expression.