Midterm Study Guide

Front

Evaluate when x = 2 and y = 5: 2 + (12 - 5x) ⋅ 2y

Back

22

Front

Identify the vertex and whether the graph opens up or down for the equation y = -2(x - 1)^2 + 4.

Back

(1, 4); opens down

Front

What is the Range of the function y = -2(x - 1)^2 + 4?

Back

y ≤ 4

Front

Is the pictured graph growth, decay, or linear?

Back

Exponential Growth

Front

Evaluate 8y + 12 - 2z for y = 4 and z = 2.

Back

40

Front

What is the definition of a vertex in a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, depending on whether it opens up or down.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, the value of f(x) also increases.

Front

What is the formula for the slope of a line?

Back

The slope (m) is given by m = (y2 - y1) / (x2 - x1).

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth increases rapidly, while exponential decay decreases rapidly.

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax^2 + bx + c.