A1E Midterm Calculator Review

Front

What is the equation of a graph that opens downwards and has a vertex at (1, 3)?

Back

y = -2|x - 1| + 3

Front

How do you find the value of a function h(x) at a specific point, such as h(0)?

Back

Substitute x = 0 into the function h(x) and simplify.

Front

Write an equation for a linear relationship where the slope is 18.50.

Back

y = 18.50x

Front

Solve for k in the equation: -5k + 10 = -2k - 14.

Back

k = 8

Front

What is the domain of a relation?

Back

The set of all possible input values (x-values) for a function.

Front

If the equation of a line is y = mx + b, what do m and b represent?

Back

m is the slope of the line, and b is the y-intercept.

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be represented by a straight line on a graph.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the vertex form of a quadratic function?

Back

y = a(x - h)² + k, where (h, k) is the vertex.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).