Axis of Symmetry and Vertex

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola represented by the quadratic function, given by the coordinates (h, k) in the vertex form y = a(x - h)² + k.

Front

How do you find the vertex of the quadratic function f(x) = ax² + bx + c?

Back

The vertex can be found using the formula x = -b/(2a) to find the x-coordinate, and then substituting this value back into the function to find the y-coordinate.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the equation x = -b/(2a).

Front

Find the vertex of f(x) = -x² - 4x + 12.

Back

(-2, 16) is the vertex.

Front

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

Back

The axis of symmetry is x = 1.

Front

Identify a, b, and c in the quadratic equation 3x² + 4 = 5x.

Back

a = 3, b = -5, c = 4.

Front

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

Back

The axis of symmetry is x = 4.

Front

What is the vertex of the function f(x) = x² - 8x + 15?

Back

The vertex is (4, -4).

Front

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

Back

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

Front

What is the significance of the 'b' value in a quadratic function?

Back

The 'b' value influences the position of the vertex along the x-axis and affects the axis of symmetry.