Quiz about 7C Transformations of Quadratic Functions

Question 1

Quadratic functions p and q are grpahed on the grid. The graph of p was transformed to create the graph of q.

Which function best represents the graph of q?

Accepted Answer

$$q\left(x\right)=-x^2+2$$

Answer

$$q\left(x\right)=-\left(x-2\right)^2$$

Answer

$$q\left(x\right)=-\left(x+2\right)^2$$

Answer

$$q\left(x\right)=-x^2-2$$

Question 2

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?

Accepted Answer

Question 3

The graph of $$f\left(x\right)=x^2$$ was transformed to create the graph of $$h\left(x\right)=2f\left(x\right)$$ .

Which graph best represents f and h?

Accepted Answer

Question 4

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?

Accepted Answer

Question 5

The graph of f(x) = x² is shown on the grid.

Which statement about the relationship between the graph of f and the graph of g(x) = 7x² is true?

Accepted Answer

The graph of g is narrower than the graph of f.

Answer

The graph of g is wider than the graph of f.

Answer

The graph of g is 7 units below the graph of f.

Answer

The graph of g is 7 units above the graph of f.

Question 6

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?

Accepted Answer

q(x) = x² - 18

and

w(x) = x²

Answer

q(x) = 18x²

and

w(x) = x²

Answer

q(x) = x² + 18

and

w(x) = x²

Answer

q(x) = -18x²

and

w(x) = x²

7C Transformations of Quadratic Functions

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