Graphing Quadratics in Vertex Form

Front

What is the graph of a quadratic function called?

Back

Parabola

Front

What are the zeros/roots/solutions of the function y = x² + 3?

Back

There are none. It does not cross the x-axis.

Front

Which variable, when negative, can cause the parent function to reflect across the x-axis?

Back

a

Front

What is the correct equation for the graph that opens upwards and has a vertex at (-2, -1)?

Back

f(x) = (x + 2)² - 1

Front

Does the graph of y = -2(x + 5)² + 2 have a minimum or a maximum?

Back

Maximum

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 'a' value in vertex form indicate about the graph?

Back

It indicates the direction of the opening (upward if a > 0, downward if a < 0) and the width of the parabola.

Front

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

Back

The vertex is at the point (h, k) in the equation y = a(x - h)² + k.

Front

What is the axis of symmetry for the quadratic function y = a(x - h)² + k?

Back

x = h.

Front

What happens to the graph of y = a(x - h)² + k if 'a' is increased?

Back

The graph becomes narrower.