Midterm Review F.4

Front

What is the vertex of the quadratic function y = -3x² + 6x - 5?

Back

The vertex is the maximum point at (1, -2).

Front

What is the general form of a quadratic function?

Back

The general form is y = ax² + bx + c, where a, b, and c are constants.

Front

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

Back

If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

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

Back

Set x = 0 in the function and solve for y.

Front

What is the y-intercept of the function y = -3x² + 6x - 5?

Back

The y-intercept is (0, -5).

Front

What is the equation of the absolute value function?

Back

The equation is f(x) = |x|.

Front

What is the difference between a maximum and a minimum in a graph?

Back

A maximum is the highest point on the graph, while a minimum is the lowest point.

Front

What does the graph of y = x² look like?

Back

It is a parabola that opens upwards with its vertex at the origin (0, 0).

Front

What is the significance of the ordered pair (0, 4) in a graph?

Back

It represents a y-intercept, meaning the graph crosses the y-axis at y = 4.

Front

How do you determine if a point is a y-intercept?

Back

A point is a y-intercept if its x-coordinate is 0.