Quadratics: Graphing, Changing, Writing

Front

What is the vertex of the parabola represented by the equation y = (x - 7)²?

Back

(7, 0)

Front

What is the vertex for the function f(x) = 4(x - 2)² + 3?

Back

(2, 3)

Front

Convert the equation from vertex form to standard form: y = 4(x + 2)² - 8.

Back

y = 4x² + 16x + 8

Front

What is the vertex of the parabola: y = -4(x + 8)²?

Back

(-8, 0)

Front

Given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

Back

(-5, -4)

Front

What is the standard form of a quadratic equation?

Back

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

Front

How do you find the vertex of a parabola in vertex form?

Back

The vertex is given by the point (h, k) in the equation y = a(x - h)² + k.

Front

What does the 'a' value in the vertex form of a parabola indicate?

Back

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

Front

What is the axis of symmetry for the parabola y = 2(x - 3)² + 1?

Back

x = 3.

Front

How do you convert from vertex form to standard form?

Back

Expand the equation y = a(x - h)² + k to the form y = ax² + bx + c.