CHS IGC 2025 Algebra 1

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

How do you solve a linear equation in one variable?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically written in the form f(x) = ax^2 + bx + c.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola represented by the quadratic function.

Front

How do you find the domain of a quadratic function?

Back

The domain of a quadratic function is all real numbers, represented as x ∈ ℝ.

Front

What is the range of a quadratic function that opens upwards?

Back

The range is the set of all y-values that the function can take, starting from the vertex value to positive infinity.

Front

What is the process of transforming a function?

Back

Transforming a function involves shifting, stretching, or reflecting the graph of the function.

Front

How do you stretch a quadratic function vertically?

Back

To stretch a quadratic function vertically, multiply the function by a factor greater than 1.