This algebra 1 transformations functions quiz asks 10 multiple-choice questions on transformations, absolute value and piecewise functions, and each answer comes with a short explanation.
Answer these 10 multiple-choice questions on transformations, absolute value, piecewise and step functions. Each question has exactly one correct answer. Read each graph carefully, then check your choice with the explanation.
How does the graph of \(y=|x|+6\) compare with the graph of \(y=|x|\)?
What is the vertex of the graph of \(y=(x-3)^{2}\)?
Which equation matches the solid graph?
Let \(f(x)=x^{2}\). What is \(f(x+2)\) when \(x=1\)?
What is the vertex of the graph shown?
Compared with the graph of \(y=x^{2}\), the graph of \(y=-3x^{2}\) is
Let \(f(x)=x+1\) when \(x < 3\), and \(f(x)=2x-3\) when \(x\ge 3\). What is \(f(3)\)?
The graph shows the cost of renting a scooter for each hour or part of an hour. What is the cost for 2.4 hours?
How many x-intercepts does the graph of \(y=|x|+3\) have?
What is the vertex of the graph of \(y=\\frac{1}{2}|x-6|-1\)?
🎉 Quiz complete!
How does this quiz work?
Read each question, choose one answer among A, B, C and D, then check it: a short explanation appears after every answer. Your score out of 10 is shown at the end, and you can restart the quiz as often as you like.
What should you review before the quiz?
Reread the key facts of the lesson and the worked example. If a question is hard, go back to the matching part of the lesson, then try the quiz again. Write your work on scrap paper: most mistakes come from skipping a step, not from the idea itself.
Remember:
- Standards F-BF.B.3 and F-IF.C.7b: describe how f(x)+k, f(x+k) and kf(x) change a graph, and graph absolute value, piecewise-defined and step functions.
- Outside changes act on y and are intuitive; inside changes act on x and work backward: x – 4 moves right 4.
- The graph of a|x – h| + k has its vertex at (h, k) and opens up when a > 0 and down when a < 0.
- On a piecewise graph, a closed circle includes the endpoint and an open circle excludes it.
- A step function has horizontal pieces and jumps, like a price charged per box or per hour or part of an hour.
How to use this algebra 1 transformations functions quiz
Retake this algebra 1 transformations functions quiz until every answer is right, then move on to the worksheet and the test.
See every chapter on the Algebra 1 math page.