Graphing Quadratics

Front

What is the axis of symmetry for the quadratic equation y = 3x² - 6x + 4?

Back

x = 1

Front

What is the vertex of the quadratic equation y = 2(x + 2)² + 5?

Back

(-2, 5)

Front

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

Back

(-2, -6)

Front

Which of the following is the vertex form of a quadratic equation?

Back

y = a(x - h)² + k

Front

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

Back

(-2, 16)

Front

Define a quadratic function.

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c.

Front

What does the 'a' in the quadratic equation y = ax² + bx + c represent?

Back

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

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 is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola, depending on the direction it opens.

Front

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

Back

x = -b/(2a)