The graph of f(x) = $$x^2$$ was translated 4.5 units to the left to create the graph of function g. Which function represents g?

G.) g(x) = $$\left(x\ +\ 4.5\right)^2$$

F.) g(x) = $$\left(x\ -\ 4.5\right)^2$$

Quadratic functions q and w are graphed on the same coordinate grid. The vertex of the graph of q is 18 units below the vertex of the graph of w. Which pair of functions could have been used to create the graphs of q and w?

A.) q(x) = 18x 2 and w(x) = x 2

B.) q(x) = x 2 + 18 and w(x) = x 2

C.) q(x) = -18x 2 and w(x) = x 2

The graph of f(x) = x 2 was transformed to create the graph of g(x) = (x - 7.5) 2 . Which of these describes this transformation?

F.) A horizontal shift to the right 7.5 units.

G.) A horizontal shift to the left 7.5 units.

H.) A vertical shift down 56.25 units.

J.) A vertical shift up 56.25 units.

TEKS A.7C: Quadratic Transformations

Authored by Margaret M Wilson

Mathematics

8th Grade

CCSS covered

Used 36+ times

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Tags

CCSS.8.G.A.3

CCSS.8.G.A.1

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

H.) g(x) = x²- 4.5

J.) g(x) = x² + 4.5

Tags

CCSS.8.G.A.3

CCSS.8.G.A.1

CCSS.8.G.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The graph of f(x) = x² is transformed to create the graph of h(x) = 2f(x). Which graph best represents f and h?

Tags

CCSS.8.G.A.3

CCSS.8.F.A.1

CCSS.8.F.A.2

CCSS.8.F.B.5

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The graph of quadratic parent function f was transformed to create the graph of g(x) = f(x + 2) - 5. Which graph best represents g?

Tags

CCSS.8.G.A.3

CCSS.8.F.A.1

CCSS.8.F.A.2

CCSS.8.F.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) - 9. Which statement about the graphs is true?

A.) The graph of g is a reflection of the graph of f across the x-axis.

B.) The vertex of the graph of g is 9 units to the right of the vertex of the graph of f.

C.) The graph of g is a reflection of the graph of f across the y-axis.

D.) The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.

Tags

CCSS.8.G.A.3

CCSS.8.F.A.2

FILL IN THE BLANKS QUESTION

3 mins • 1 pt

The graph of quadratic function p is shown on the grid. If k(x) = x² and p(x) = k(x) + n, what is the value of n?

(a)

Tags

CCSS.8.F.A.1

CCSS.8.F.A.2

CCSS.8.F.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

F.) A reflection over the x-axis and a horizontal stretch

G.) A reflection over the y-axis and a horizontal stretch

H.) A reflection over the x-axis and a vertical stretch

J.) A reflection over the y-axis and a vertical stretch

Tags

CCSS.8.G.A.3

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TEKS A.7C: Quadratic Transformations

The graph of f(x) = x² is transformed to create the graph of h(x) = 2f(x). Which graph best represents f and h?

The graph of quadratic parent function f was transformed to create the graph of g(x) = f(x + 2) - 5. Which graph best represents g?

The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) - 9. Which statement about the graphs is true?

The graph of quadratic function p is shown on the grid. If k(x) = x² and p(x) = k(x) + n, what is the value of n?

(a)

Quadratic functions q and w are graphed on the same coordinate grid. The vertex of the graph of q is 18 units below the vertex of the graph of w. Which pair of functions could have been used to create the graphs of q and w?

The graph of f(x) = x² was transformed to create the graph of g(x) = (x - 7.5)². Which of these describes this transformation?

Function p is in the form y = ax² + c. If the values of a and c are both less than 0, which graph could represent p?

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Similar Resources on Wayground

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TEKS A.7C: Quadratic Transformations

The graph of f(x) = x2 is transformed to create the graph of h(x) = 2f(x). Which graph best represents f and h?

The graph of quadratic parent function f was transformed to create the graph of g(x) = f(x + 2) - 5. Which graph best represents g?

The graph of f(x) = x2 was transformed to create the graph of g(x) = f(x) - 9. Which statement about the graphs is true?

The graph of quadratic function p is shown on the grid. If k(x) = x2 and p(x) = k(x) + n, what is the value of n? (a)

Quadratic functions q and w are graphed on the same coordinate grid. The vertex of the graph of q is 18 units below the vertex of the graph of w. Which pair of functions could have been used to create the graphs of q and w?

The graph of f(x) = x2 was transformed to create the graph of g(x) = (x - 7.5)2. Which of these describes this transformation?

Function p is in the form y = ax2 + c. If the values of a and c are both less than 0, which graph could represent p?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

The graph of f(x) = x² is transformed to create the graph of h(x) = 2f(x). Which graph best represents f and h?

The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) - 9. Which statement about the graphs is true?

The graph of quadratic function p is shown on the grid. If k(x) = x² and p(x) = k(x) + n, what is the value of n?

(a)

The graph of f(x) = x² was transformed to create the graph of g(x) = (x - 7.5)². Which of these describes this transformation?

Function p is in the form y = ax² + c. If the values of a and c are both less than 0, which graph could represent p?