Quiz about Quadratic Equations Given Vertex and a Point

Question 1

Write the vertex form of the equation that has the indicated vertex and passes through the given point.
Vertex (-2,5); point (0,9)

Accepted Answer

$$f\left(x\right)=\left(x+2\right)^2+5$$

Answer

$$f\left(x\right)=\left(x+5\right)^2+2$$

Answer

$$f\left(x\right)=\left(x-5\right)^2$$

Answer

$$f\left(x\right)=\left(x+2\right)^2-5$$

Question 2

Write the vertex form of the equation that has the indicated vertex and passes through the given point.
Vertex (-2,5); point (0,9)

Accepted Answer

$$f\left(x\right)=\left(x+2\right)^2+5$$

Answer

$$f\left(x\right)=\left(x+5\right)^2+2$$

Answer

$$f\left(x\right)=\left(x-5\right)^2$$

Answer

$$f\left(x\right)=\left(x+2\right)^2-5$$

Question 3

Write the vertex form of the equation that has the indicated vertex and passes through the given point.
Vertex (-1,4); point (1,0)

Accepted Answer

$$f\left(x\right)=-\left(x+1\right)^2+4$$

Answer

$$f\left(x\right)=\left(x+1\right)^2+4$$

Answer

$$f\left(x\right)=-\left(x+4\right)^2+1$$

Answer

$$f\left(x\right)=-\left(x+1\right)^2$$

Question 4

Find the quadratic function with vertex (2, 0) and passing through (1, 3).

Accepted Answer

y = 3x² - 12x + 12

Answer

y = 3x² + 12x - 12

Answer

y = - 3x² + 6x - 1

Answer

y = 3x² - 6x + 9

Question 5

Write the vertex form of the equation that has the indicated vertex and passes through the given point.
Vertex (-2,-1); point (0,3)

Accepted Answer

$$f\left(x\right)=\left(x+2\right)^2-1$$

Answer

$$f\left(x\right)=-\left(x+1\right)^2+3$$

Answer

$$f\left(x\right)=-\left(x+5\right)^2+7$$

Answer

$$f\left(x\right)=\left(x-3\right)^2$$

Question 6

Which quadratic function in vertex form best represents the graph that has a vertex at (4,-1) and passes through the point (8, 3)?

Accepted Answer

f(x) = 1/4(x - 4)² - 1

Answer

f(x) = 4(x - 4)² - 1

Answer

f(x) = 4(x + 4)² - 1

Answer

f(x) = 1/4(x + 4)² - 1

Question 7

Which quadratic function in vertex form can be represented by the graph that has a vertex at (3,-7) and passes through the point (1,-10)?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 8

Which function is best represented by this graph?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Quadratic Equations Given Vertex and a Point