Quadratics - Standard and Vertex Form Properties

Front

What is the vertex form of a quadratic equation?

Back

y = a(x - h)^2 + k

Front

How many zeros does a parabola with a positive leading coefficient and a minimum point have?

Back

2

Front

What is the vertex of the function y = -x^2 + 6x - 8?

Back

(3, 1)

Front

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

Back

Maximum

Front

Which function has a vertex at (3, -2)?

Back

y = 2(x - 3)^2 - 2

Front

What does the 'a' in the vertex form of a quadratic equation indicate?

Back

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

Front

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

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 point 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 in vertex form.

Front

How do you determine the number of real zeros of a quadratic function?

Back

By calculating the discriminant (b^2 - 4ac) from the standard form; if it's positive, there are 2 zeros; if zero, 1 zero; if negative, 0 zeros.