Finding Axis of Symmetry & Vertex from a Function

Front

What are the values of a, b, and c in the function x² - 5x + 4?

Back

a = 1, b = -5, c = 4

Front

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

Back

x = 4

Front

Find the vertex for f(4) = x² - 8x + 15.

Back

(4, -1)

Front

Find the axis of symmetry of f(x) = 3x² - 6x + 4.

Back

x = 1

Front

What is the vertex of the function represented by the equation y = x² - 8x + 15?

Back

(4, -1)

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, given by the formula x = -b/(2a).

Front

What is the formula to find the vertex of a quadratic function in standard form y = ax² + bx + c?

Back

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

Front

How do you determine if a parabola opens upwards or downwards?

Back

If a > 0, the parabola opens upwards; if a < 0, 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, depending on its orientation.

Front

Calculate the vertex of the function f(x) = 2x² - 4x + 1.

Back

(1, -1)