10.1 - 10.5 Review

Front

What is the axis of symmetry for the quadratic function y = x² + 2x - 1?

Back

x = -1

Front

If a function has a discriminant of 0, how many solutions does it have?

Back

1

Front

Completely factor the expression 8x² + 18x.

Back

2x(4x + 9)

Front

What is the discriminant of the equation -2x² - x + 4 = 5?

Back

-7

Front

Which equation would NOT help you solve for the dimensions of a rectangle with an area of 100 in² and width 15 inches shorter than its length?

Back

100 = L•(L + 15)

Front

Define the discriminant in the context of quadratic equations.

Back

The discriminant is the part of the quadratic formula under the square root (b² - 4ac) that determines the number of real solutions.

Front

What does a positive discriminant indicate about the roots of a quadratic equation?

Back

It indicates that there are two distinct real roots.

Front

What does a negative discriminant indicate about the roots of a quadratic equation?

Back

It indicates that there are no real roots, only complex roots.

Front

How do you find the vertex of a parabola given by the equation y = ax² + bx + c?

Back

The vertex can be found using the formula (-b/(2a), f(-b/(2a))).

Front

What is the standard form of a quadratic equation?

Back

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