Graphing Quadratics

Front

What is the vertex of the parabola represented by the equation y = ax^2 + bx + c?

Back

The vertex can be found using the formula: Vertex (h, k) where h = -b/(2a) and k = f(h).

Front

Find the vertex of the parabola: y = -5x^2 - 20x - 26

Back

(-2, -6)

Front

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

Back

(-5, -4)

Front

What is the vertex of the function f(x) = 2(x - 5)^2 + 12?

Back

(5, 12)

Front

What is the axis of symmetry for the quadratic function y = ax^2 + bx + c?

Back

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

Front

Find the axis of symmetry for the function y = 3x^2 - 6x + 4.

Back

x = 1

Front

Find the axis of symmetry for the function f(x) = x^2 - 8x + 15.

Back

x = 4

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax^2 + bx + c.

Front

What does the 'a' value in the quadratic equation y = ax^2 + 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 significance of the vertex in a parabola?

Back

The vertex represents the highest or lowest point of the parabola, depending on its orientation.