4th Period Alg2 Fall Final Review

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax² + bx + c, where a, b, and c are constants.

Front

What does it mean to reflect a graph across the x-axis?

Back

Reflecting a graph across the x-axis means that for every point (x, y) on the graph, the point (x, -y) will also be on the graph.

Front

How does a vertical stretch by a factor of 4 affect the graph of a function?

Back

A vertical stretch by a factor of 4 multiplies the y-values of the function by 4, making the graph steeper.

Front

What is the effect of shifting a graph left by 1 unit?

Back

Shifting a graph left by 1 unit means that every point (x, y) on the graph moves to (x-1, y).

Front

What does it mean to shift a graph up by 3 units?

Back

Shifting a graph up by 3 units means that every point (x, y) on the graph moves to (x, y+3).

Front

How do you solve the equation 3(x – 1)² + 5 = 26?

Back

1 ± √7.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables that are solved together.

Front

How do you solve the system: x + y = 10 and x - y = 2?

Back

x = 6, y = 4.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.

Front

What does it mean for a quadratic equation to have real solutions?

Back

A quadratic equation has real solutions if the discriminant (b² - 4ac) is greater than or equal to zero.