Features of Quadratic Functions and Graphing Quadratics

Front

What is the vertex form of a quadratic function?

Back

y = a(x - h)² + k, where (h, k) is the vertex.

Front

What does the vertex of a parabola represent?

Back

The highest or lowest point on the graph.

Front

How does changing the value of 'a' in the vertex form affect the graph?

Back

It affects the width and direction of the parabola (vertical stretch/compression and reflection).

Front

What is the standard form of a quadratic function?

Back

y = ax² + bx + c.

Front

What is the axis of symmetry in a quadratic function?

Back

The vertical line that divides the parabola into two mirror images, given by x = h in vertex form.

Front

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

Back

Use the formula h = -b/(2a) to find x-coordinate, then substitute back to find y-coordinate.

Front

What transformation occurs when you add a constant to the vertex form?

Back

It shifts the graph vertically (up or down).

Front

What transformation occurs when you subtract a constant from the x in vertex form?

Back

It shifts the graph horizontally (left or right).

Front

What does it mean if 'a' is negative in a quadratic function?

Back

The parabola opens downwards.

Front

What is the significance of the y-intercept in a quadratic function?

Back

It is the point where the graph intersects the y-axis, given by (0, c) in standard form.