Vertex Form to Standard Form

Front

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

Back

Parabola

Front

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

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 ax^2 + bx + c.

Front

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

Back

It determines the direction and width of the parabola.

Front

What is the axis of symmetry in a quadratic function?

Back

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

Front

How can you find the x-coordinate of the vertex from the standard form?

Back

Use the formula x = -b/(2a).

Front

What is the significance of the vertex in a quadratic function?

Back

It represents the maximum or minimum value of the function.