2021- STAAR ALG 1 Released

Front

What is the effect of translating the graph of f(x) = x² to the left by 4.5 units?

Back

The new function g(x) is represented as g(x) = (x + 4.5)².

Front

What does it mean for y to be directly proportional to x?

Back

It means that as x increases, y increases at a constant rate. For example, if x = 3.5 corresponds to y = 14, then when x = 28, y = 112.

Front

What is causation in a mathematical context?

Back

Causation indicates that one event is the result of the occurrence of another event. For example, the amount of time a cell phone is used affects the charge of its battery.

Front

How do you find the zeros of a quadratic function?

Back

To find the zeros of g(x) = x² - 6x - 16, factor the equation to get (x + 2)(x - 8) = 0, leading to zeros at x = -2 and x = 8.

Front

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

Back

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

Front

How do you calculate the slope between two points (x₁, y₁) and (x₂, y₂)?

Back

The slope m is calculated as m = (y₂ - y₁) / (x₂ - x₁).

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, represented by the value of b in the slope-intercept form.

Front

What does it mean for a function to be quadratic?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c.

Front

What is the vertex of a parabola represented by a quadratic function?

Back

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

Front

How do you determine if a relationship is linear or non-linear?

Back

A relationship is linear if it can be represented by a straight line on a graph; otherwise, it is non-linear.