24/25 Practice Exam Semester 1

Front

What are coefficients in an algebraic expression?

Back

Coefficients are the numerical factors in terms of an algebraic expression. For example, in the expression 8x - 3 + 12xy, the coefficients are 8 and 12.

Front

Describe the transformation of the function y = f(x) when it becomes f(x) = ⅔(x - 7)².

Back

The transformation involves a horizontal shift to the right by 7 units and a vertical stretch by a factor of ⅔, making the graph wider.

Front

What is the correlation between study time and test grades?

Back

The correlation is positive, meaning that as study time increases, test grades tend to increase as well.

Front

What does the transformation g(x) = f(x + 5) + 3 indicate?

Back

This transformation indicates a horizontal shift to the left by 5 units and a vertical shift upwards by 3 units.

Front

What transformations occur in g(x) = f(x - 3) + 5?

Back

The transformations are a horizontal shift to the right by 3 units and a vertical shift upwards by 5 units.

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x).

Front

What does it mean for a function to be wider or narrower?

Back

A function is wider if it stretches out horizontally and narrower if it compresses towards the y-axis.

Front

What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

How do you identify the vertex of a quadratic function in standard form?

Back

To find the vertex of a quadratic function in standard form ax² + bx + c, use the formula h = -b/(2a) and k = f(h).

Front

What is the difference between a solid and dotted graph in transformations?

Back

A solid graph represents the actual function, while a dotted graph may indicate a transformation or a function that is not defined at certain points.