Algebra 1 review

Front

What is the definition of a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What does the vertex of a parabola represent?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the formula x = -b/(2a).

Front

How do you find the roots of a quadratic equation?

Back

The roots can be found using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).

Front

What is the difference between growth and decay in functions?

Back

Growth refers to functions that increase over time, while decay refers to functions that decrease over time.

Front

Solve the quadratic equation: 2x² + 7x - 15 = 0

Back

The solutions are x = -5 and x = 1.5.

Front

What is the standard form of a quadratic equation?

Back

The standard form is written as y = ax² + bx + c.

Front

What are x-intercepts?

Back

X-intercepts are points where the graph of a function crosses the x-axis, meaning the output (y) is zero.

Front

What is the formula for the area of a rectangle?

Back

The area A of a rectangle is given by A = length × width.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac.