SAT MathAdvanced Math10 Questions~13 min

SAT Parabola Graphs Questions — Practice with Answers

Practice SAT-style Parabola Graphs questions from the Advanced Math section of the SAT Math module. Every question includes a detailed explanation — select an answer, check it immediately, and understand exactly why the correct answer is right.

10
Questions
13m
Est. Time
All
With Explanations
5E/3M/2H
Difficulty Mix
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What These SAT Parabola Graphs Questions Cover

Topic Focus

Parabola Graphs — a key area of the Advanced Math section on the SAT.

Difficulty Range

5 Easy, 3 Medium, and 2 Hard questions — matching the real SAT distribution.

Instant Explanations

Every question includes a step-by-step explanation so you learn from every answer.

SAT Parabola Graphs Practice Questions

10 Questions
0 / 10 answered
1Easy

The graph of y = x² opens in which direction?

2Easy

What is the vertex of the parabola y = (x - 3)² + 5?

3Easy

What is the axis of symmetry of y = 2x² - 8x + 3?

4Easy

Where does the parabola y = x² - 4x + 3 cross the x-axis?

5Easy

What is the y-intercept of y = 3x² - 5x + 2?

6Medium

Find the vertex of y = x² + 6x + 5 by completing the square or using the formula.

7Medium

A parabola has vertex at (2, -3) and passes through (0, 1). What is the equation of the parabola?

8Medium

The parabola y = -2x² + 8x - 5 opens downward and has a maximum value. What is the maximum y-value?

9Hard

The parabola y = ax² + bx + c has vertex at (1, -4) and passes through (3, 0). What is the value of a?

10Hard

On the SAT, a parabola is defined by y = -(x-p)² + q where (p,q) is the vertex. If the parabola has x-intercepts at x=1 and x=7, what are the coordinates of the vertex?

How to Master SAT Parabola Graphs

Understand the question type, not just the content

Every Parabola Graphs question on the SAT follows predictable patterns. Once you recognize the pattern, you can apply a systematic approach — even on questions you haven't seen before.

Always use process of elimination first

On the SAT, there are three definitively wrong answers and one correct one. Training yourself to find the wrong answers often leads you to the right one more reliably than looking for what 'sounds right'.

Review every explanation, even when correct

Understanding why an answer is right is as important as getting it right. Many Parabola Graphs questions have tricky wrong answers that students sometimes pick for the wrong reasons — even when they get it right.

Practice under time pressure once you understand the content

After you've learned the Parabola Graphs concepts, set a timer. Each SAT Math question should take roughly 1.2–1.5 minutes. Build speed after accuracy — never before.

Take the Full Parabola Graphs Practice Test

Ready for a complete practice test? Get all Parabola Graphs questions in one timed session — with a full score breakdown at the end.

Common Mistakes on SAT Parabola Graphs Questions

Not reading the full question

SAT Parabola Graphs questions are precisely worded. Missing a single word like "NOT" or "EXCEPT" can flip the entire question. Re-read every question after selecting your answer.

Answering from memory instead of the text

Don't try to use calculator shortcuts before understanding what the question is actually asking. Many Math errors come from solving the wrong equation.

Rushing past the explanation

Students who skip reviewing explanations after correct answers miss the second layer of learning. Understanding why each wrong answer is wrong is what separates 700-scorers from 800-scorers.

Giving up on hard questions too fast

Hard Parabola Graphs questions are hard by design — they're meant to take more time. A systematic approach (eliminate 2 wrong answers, then compare the remaining 2) works even when you're unsure.

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