Quadratics - Graphing and More

How does the parabola open? 

 $y=4x-x^2+6$  

• up

• down

• left

• right

Which answer choice describes this graph accurately?

 $y=-5x^2+2x-1$  

• opens up with a maximum

• opens up with a minimum

• opens down with a maximum

• opens down with a minimum 

Tags

CCSS.HSF-IF.C.7A

What does this equation find?

 $x=\frac{-b}{2a}$  

• vertex

• y-intercept

• slope

• axis of symmetry

Find the vertex of the quadratic:
y = -2x² + 4x + 3

• (0, 3)
• (-1, 5)
• (1, 5)
• (1, -5)

What is the equation for axis of symmetry?

• y=3
• x=3
• x=5
• x=1

Which of the following equations shows the vertex form of a quadratic?

• 
  

  $x=-\frac{b}{2a}$

• $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$
  

• $y=ax^2+bx+c$

• $y=a\left(x-h\right)^2+k$
  

How does y=.35x² compare to y=x²?

• They are the same graph. 
• y=.35x² is wider than y=x².
• y=.35x² is more narrow than y=x².
• y=.35x² is moved down from y=x².

Which of the following describes the transformations that occurred from y = x² to obtain the graph of y = 2x² + 4?

• narrower by 2 and translation up 4
• wider by 2 and translation up 4
• narrower by 2 and translation left 4
• wider by 2 and translation right 4

What are the x-intercepts for the function
f(x) = (x + 7)(x + 5)

• (7 , 0) and (5 , 0)
• (0 , 7) and (0 , 5)
• (-7 , 0) and (-5 , 0)
• (7 , 0) and (5 , 0)

Tags

CCSS.HSA.APR.B.3

How did we transform from the parent function  $y=x^2$   to this?

 $y=-\frac{1}{5}\left(x-1\right)^2+7$  

• reflection, vertical compression, horizontal shift right, vertical shift up

• vertical compression, horizontal shift left, vertical shift up

• reflection, vertical stretch, horizontal shift right, vertical shift up

• reflection, vertical stretch, horizontal shift left, vertical shift up