Question 9: A quadratic function has a graph with a vertex at (2, -8) and passes through the point (4, -9). Which of the following statements is NOT true about the graph of this function?

The standard form of the function is $$y=-\frac{1}{4}x^2-x+9$$ .

The vertex form of the function is $$y=-\frac{1}{4}\left(x-2\right)^2-8$$ .

The axis of symmetry of the graph is x = 2.

The y-intercept of the graph is (0, -9).

8A-4: Writing Quadratic Equations in Vertex Form

Authored by COURTNEY PATTEN

Mathematics

9th Grade

CCSS covered

Used 1+ times

8A-4: Writing Quadratic Equations in Vertex Form

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MATH RESPONSE QUESTION

2 mins • 1 pt

Question 1:
In vertex form, write the quadratic function of a graph that has a vertex at (3, 6) and goes through the point (2, 8).

Mathematical Equivalence

OFF

MATH RESPONSE QUESTION

2 mins • 1 pt

Question 1:
In standard form, write the quadratic function of a graph that has a vertex at (3, 6) and goes through the point (2, 8).

Mathematical Equivalence

OFF

MATH RESPONSE QUESTION

2 mins • 1 pt

Question 2:
In vertex form, write the quadratic function of a graph that has a vertex at (-8, 0) and goes through the point (-6, 3).
Hint: leave your a-value as a fraction.

Mathematical Equivalence

OFF

MATH RESPONSE QUESTION

2 mins • 1 pt

Question 2:
In standard form, write the quadratic function of a graph that has a vertex at (-8, 0) and goes through the point (-6, 3).
Hint: leave your a-value as a fraction.

Mathematical Equivalence

OFF

MATH RESPONSE QUESTION

2 mins • 1 pt

Question 3:
In vertex form, write the quadratic function of a graph that has a vertex at (-5, -1) and goes through the point (-6, -4).

Mathematical Equivalence

OFF

MATH RESPONSE QUESTION

2 mins • 1 pt

Question 3:
In standard form, write the quadratic function of a graph that has a vertex at (-5, -1) and goes through the point (-6, -4).

Mathematical Equivalence

OFF

MATH RESPONSE QUESTION

2 mins • 1 pt

Question 4:
In vertex form, write the quadratic function of a graph that has a vertex at (6, 4) and goes through the point (4, 8/3).
Hint: leave your a-value as a fraction.

Mathematical Equivalence

OFF

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8A-4: Writing Quadratic Equations in Vertex Form

Question 1:
In vertex form, write the quadratic function of a graph that has a vertex at (3, 6) and goes through the point (2, 8).

Question 1:
In standard form, write the quadratic function of a graph that has a vertex at (3, 6) and goes through the point (2, 8).

Question 2:
In vertex form, write the quadratic function of a graph that has a vertex at (-8, 0) and goes through the point (-6, 3).
Hint: leave your a-value as a fraction.

Question 2:
In standard form, write the quadratic function of a graph that has a vertex at (-8, 0) and goes through the point (-6, 3).
Hint: leave your a-value as a fraction.

Question 3:
In vertex form, write the quadratic function of a graph that has a vertex at (-5, -1) and goes through the point (-6, -4).

Question 3:
In standard form, write the quadratic function of a graph that has a vertex at (-5, -1) and goes through the point (-6, -4).

Question 4:
In vertex form, write the quadratic function of a graph that has a vertex at (6, 4) and goes through the point (4, 8/3).
Hint: leave your a-value as a fraction.

Question 4:
In standard form, write the quadratic function of a graph that has a vertex at (6, 4) and goes through the point (4, 8/3).
Hint: leave your a-value as a fraction.

Question 5:
The table shows several points on the graph of a quadratic function. Write the quadratic function in vertex form.
Hint: your vertex is highlighted.

Question 5:
The table shows several points on the graph of a quadratic function. Write the quadratic function in standard form.
Hint: your vertex is highlighted.

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Popular Resources on Wayground

Discover more resources for Mathematics

8A-4: Writing Quadratic Equations in Vertex Form

Question 1:In vertex form, write the quadratic function of a graph that has a vertex at (3, 6) and goes through the point (2, 8).

Question 1:In standard form, write the quadratic function of a graph that has a vertex at (3, 6) and goes through the point (2, 8).

Question 2:In vertex form, write the quadratic function of a graph that has a vertex at (-8, 0) and goes through the point (-6, 3).Hint: leave your a-value as a fraction.

Question 2:In standard form, write the quadratic function of a graph that has a vertex at (-8, 0) and goes through the point (-6, 3).Hint: leave your a-value as a fraction.

Question 3:In vertex form, write the quadratic function of a graph that has a vertex at (-5, -1) and goes through the point (-6, -4).

Question 3:In standard form, write the quadratic function of a graph that has a vertex at (-5, -1) and goes through the point (-6, -4).

Question 4:In vertex form, write the quadratic function of a graph that has a vertex at (6, 4) and goes through the point (4, 8/3).Hint: leave your a-value as a fraction.

Question 4:In standard form, write the quadratic function of a graph that has a vertex at (6, 4) and goes through the point (4, 8/3).Hint: leave your a-value as a fraction.

Question 5:The table shows several points on the graph of a quadratic function. Write the quadratic function in vertex form.Hint: your vertex is highlighted.

Question 5:The table shows several points on the graph of a quadratic function. Write the quadratic function in standard form.Hint: your vertex is highlighted.

Access all questions and much more by creating a free account

Popular Resources on Wayground

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Question 1:
In vertex form, write the quadratic function of a graph that has a vertex at (3, 6) and goes through the point (2, 8).

Question 1:
In standard form, write the quadratic function of a graph that has a vertex at (3, 6) and goes through the point (2, 8).

Question 2:
In vertex form, write the quadratic function of a graph that has a vertex at (-8, 0) and goes through the point (-6, 3).
Hint: leave your a-value as a fraction.

Question 2:
In standard form, write the quadratic function of a graph that has a vertex at (-8, 0) and goes through the point (-6, 3).
Hint: leave your a-value as a fraction.

Question 3:
In vertex form, write the quadratic function of a graph that has a vertex at (-5, -1) and goes through the point (-6, -4).

Question 3:
In standard form, write the quadratic function of a graph that has a vertex at (-5, -1) and goes through the point (-6, -4).

Question 4:
In vertex form, write the quadratic function of a graph that has a vertex at (6, 4) and goes through the point (4, 8/3).
Hint: leave your a-value as a fraction.

Question 4:
In standard form, write the quadratic function of a graph that has a vertex at (6, 4) and goes through the point (4, 8/3).
Hint: leave your a-value as a fraction.

Question 5:
The table shows several points on the graph of a quadratic function. Write the quadratic function in vertex form.
Hint: your vertex is highlighted.

Question 5:
The table shows several points on the graph of a quadratic function. Write the quadratic function in standard form.
Hint: your vertex is highlighted.