Vertex Form to Standard Form

Front

What is the shape of the graph of a quadratic function?

Back

A parabola.

Tags

CCSS.HSF-IF.C.7A

Front

What is the standard form of a quadratic function?

Back

The standard form is given by f(x) = ax^2 + bx + c.

Front

What is the vertex form of a quadratic function?

Back

The vertex form is given by f(x) = a(x - h)^2 + k, where (h, k) is the vertex.

Front

How do you convert from vertex form to standard form?

Back

Expand the vertex form equation and simplify to get the standard form.

Front

What does the 'a' in the quadratic function represent?

Back

The 'a' value determines the direction and width of the parabola.

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

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

Back

The vertex can be found using the formula (-b/(2a), f(-b/(2a))).

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is the vertical line that passes through the vertex, given by x = h.

Front

What is the effect of changing the 'a' value in the vertex form?

Back

Changing 'a' affects the width and direction of the parabola (opens up or down).

Front

What does the 'h' and 'k' represent in the vertex form?

Back

The 'h' is the x-coordinate and 'k' is the y-coordinate of the vertex.