Graphing Quadratics in Standard Form

Front

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

Back

(-2, 16)

Front

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

Back

(2, -4)

Front

Graph the quadratic function f(x) = -x² + 4x - 3. Which graph represents this function?

Back

B

Front

What is the equation for the axis of symmetry for the quadratic function f(x) = -x² + 6x - 8?

Back

x = 3

Front

Find the vertex of the quadratic function y = -5x² - 20x - 26.

Back

(-2, -6)

Front

What is the standard form of a quadratic function?

Back

f(x) = ax² + bx + c, where a, b, and c are constants.

Front

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

Back

Use the formula x = -b/(2a) to find the x-coordinate, then substitute back to find the y-coordinate.

Front

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

Back

If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola.

Front

What is the formula for the axis of symmetry in a quadratic function?

Back

x = -b/(2a) where f(x) = ax² + bx + c.