4.5 Axis of Symmetry and Vertex

Front

What is the axis of symmetry for the parabola represented by the equation y = 3x^2 - 6x + 4?

Back

x = 1

Front

What is the vertex of the parabola represented by the equation y = 3x^2 - 6x + 4?

Back

(1,-2)

Front

Define the axis of symmetry in the context of a parabola.

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves.

Front

Find the axis of symmetry for the function f(x) = x^2 - 8x + 15.

Back

x = 4

Front

What is the formula for finding the axis of symmetry of a parabola given by the equation y = ax^2 + bx + c?

Back

x = \frac{-b}{2a}

Front

What is the vertex of the parabola represented by the equation y = x^2 - 8x + 15?

Back

(4,-1)

Front

How do you determine the vertex of a parabola from its standard form equation?

Back

The vertex can be found using the formula \(x = \frac{-b}{2a}\) to find the x-coordinate, then substitute back to find the y-coordinate.

Front

What does the vertex represent in a parabola?

Back

The vertex is the highest or lowest point on the graph of the parabola, depending on its orientation.

Front

If a parabola opens upwards, what can be said about its vertex?

Back

The vertex is the minimum point of the parabola.

Front

If a parabola opens downwards, what can be said about its vertex?

Back

The vertex is the maximum point of the parabola.