Semester Test Review 2nd block

Front

What is the axis of symmetry?

Back

The axis of symmetry is a vertical line that divides a parabola into two mirror-image halves. For the quadratic function y = ax^2 + bx + c, the axis of symmetry can be found using the formula x = -b/(2a). In this case, the axis of symmetry is x = 1.

Front

Is this exponential growth or decay?

Back

Exponential decay occurs when a quantity decreases at a rate proportional to its current value. For example, if a population decreases by 5% each year, it is experiencing exponential decay.

Front

Solve using the Zero-Product Property: (x + 4)(x − 3) = 0

Back

To solve using the Zero-Product Property, set each factor equal to zero: x + 4 = 0 or x - 3 = 0. This gives x = -4 and x = 3.

Front

Subtract: 3 - 8

Back

3 - 8 = -5.

Front

Name the parent function of a linear equation.

Back

The parent function of a linear equation is y = x, which represents a straight line with a slope of 1.

Front

What is exponential growth?

Back

Exponential growth occurs when a quantity increases at a rate proportional to its current value. For example, if a population doubles every year, it is experiencing exponential growth.

Front

Define the Zero-Product Property.

Back

The Zero-Product Property states that if the product of two factors is zero, then at least one of the factors must be zero. This is used to solve quadratic equations.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form y = ax^2 + bx + c, where a, b, and c are constants.

Front

What does it mean to subtract integers?

Back

Subtracting integers involves finding the difference between two whole numbers. For example, subtracting a negative number is the same as adding its positive counterpart.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.