Finding the axis of symmetry and the vertex

Front

What is the vertex of the quadratic function y = x^2 - 2x - 5?

Back

V(1, -6)

Front

Identify the vertex of the quadratic function y = x^2 - 2x + 15.

Back

(1, 16)

Front

What is the vertex of the quadratic function y = 2x^2 - 16x + 32?

Back

(4, -4)

Front

Which equation represents the standard form of a quadratic function?

Back

y = ax^2 + bx + c

Front

What is the equation for the line of symmetry of the quadratic function y = x^2 - 4x + 4?

Back

x = 2

Front

Define 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.

Front

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

Back

Use the formula V(h, k) where h = -b/(2a) and k = f(h).

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 does the 'a' value in the quadratic equation y = ax^2 + bx + c indicate?

Back

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

Front

If a quadratic function opens upwards, where is the vertex located?

Back

The vertex is the minimum point of the parabola.