Review for Assessment #1

Front

What is the axis of symmetry for the quadratic function y = 3x² - 6x + 4?

Back

x = 1

Front

Determine the minimum or maximum of the function y = 3x² - 6x + 4.

Back

Minimum: -4

Front

For a graph to be wider, what must the 'a' value be?

Back

Very small number, regardless of sign

Front

What is the equation for the axis of symmetry in a quadratic function?

Back

x = -b/(2a)

Front

What causes the graph of y = x² to open downward?

Back

Multiply the x² by a negative number.

Front

What is the vertex of the parabola represented by the function y = ax² + bx + c?

Back

The vertex is at the point (-b/(2a), f(-b/(2a))).

Front

How do you find the minimum or maximum value of a quadratic function?

Back

Evaluate the function at the vertex x = -b/(2a).

Front

What does a positive 'a' value indicate about the graph of a quadratic function?

Back

The graph opens upwards.

Front

What does a negative 'a' value indicate about the graph of a quadratic function?

Back

The graph opens downwards.

Front

What is the significance of the discriminant in a quadratic equation?

Back

It determines the nature of the roots: positive (two real roots), zero (one real root), negative (no real roots).