Algebra Lab Final

Given the function f(x) =  $3x-x^2$ , find f(-2)

• 10

• -10

• 2

• -2

What is the equation for the line?

• y=-2x-2

• y=x+2

• y=3x-1

• y=2x+3

What is the inequality of the line shown?

•  $y\le-3x-1$  

•  $y<-\frac{1}{3}x-1$  

•  $y<-3x-1$  

•  $y>-\frac{1}{3}x\ -1$  

What is the y-intercept of the function?

• 2
• 3
• 1
• -2

Does this graph in the back have maximum or minimum value?

• maximum
• minimum
• neither
• both

What are the x- intercepts?

• x= 0 and x= -4
• x= 0 and x= 4
• y= 0
• x= 2

How many solutions does this graph have?

• one
• two
• no solutions
• cannot be determined

Which transformation transforms the graph of
f(x) = x² to the graph of
g(x) = (x + 4)²?

• a vertical translation 4 units up
• a vertical translation 4 units down
• a horizontal translation 4 units to the left
• a horizontal translation 4 units to the right

What is the vertex of this quadratic equation?

y = 2(x - 2)² + 4

• (-2,5)

• (-2,4)

• (5,-2)

• (-5,-2)

The graph of f(x) = x² has been transformed so that the vertex is now (-2, 8), it opens upward, and is now 3 times as steep. What is the new equation?

• f(x) = (x - 2)² - 8

• f(x) = 3(x + 2)² + 8

• f(x) = -3(x + 2)² + 8

• f(x) = 3(x + 2)² - 8