Vertex Form to Standard Form

Front

What is the U-Shaped graph of a quadratic function called?

Back

Parabola

Tags

CCSS.HSF-IF.C.7A

Front

What do we call the highest or lowest point of a quadratic?

Back

Vertex

Front

What is the vertex of the quadratic function represented by the point (3, -1)?

Back

(3, -1)

Front

What is the standard form of a quadratic function?

Back

f(x) = ax^2 + bx + c

Front

What is the vertex form of a quadratic function?

Back

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 f(x) = a(x - h)^2 + k to get f(x) = ax^2 - 2ahx + (ah^2 + k).

Front

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

Back

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

Front

If a > 0, what direction does the parabola open?

Back

Upwards.

Tags

CCSS.HSF-IF.C.7A

Front

If a < 0, what direction does the parabola open?

Back

Downwards.

Tags

CCSS.HSF-IF.C.7A

Front

What is the axis of symmetry in a quadratic function?

Back

The vertical line that passes through the vertex, given by x = h.