Algebra II Midterm Exam

Front

What is the axis of symmetry for a vertical parabola?

Back

The axis of symmetry for a vertical parabola always matches the x-value of the vertex.

Front

How do you find the y-intercept of a quadratic function?

Back

To find the y-intercept, evaluate the function at x=0.

Front

What is the y-intercept of the function f(x) = -2x² + 4x - 6?

Back

The y-intercept is (0, -6).

Front

What is the general form of a quadratic function?

Back

The general form is f(x) = ax² + bx + c.

Front

How do you determine the vertex of a parabola from its equation?

Back

The vertex can be found using the formula x = -b/(2a) for the x-coordinate.

Front

What transformation occurs when you change f(x) = x² to g(x) = (x + 4)²?

Back

This transformation shifts the graph 4 units to the left.

Front

What does a negative coefficient in front of x² indicate about the parabola?

Back

A negative coefficient indicates that the parabola opens downward.

Front

How do you reflect a parabola across the x-axis?

Back

To reflect a parabola across the x-axis, multiply the entire function by -1.

Front

What effect does multiplying a quadratic function by a number greater than 1 have on its graph?

Back

It makes the parabola narrower.

Front

What is the standard form of a quadratic function?

Back

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