Quadratic forms and key characteristics

Which of the following is correctly paired with the feature it reveals

•  $f\left(x\right)\ =\ \left(x-3\right)\left(x+5\right)$  has zeros at  $x\ =\ -3$  and  $x\ =\ 5$  

•  $f\left(x\right)\ =\ x^2-2x\ -\ 15$  has zeros at  $x\ =\ -15$  

•  $f\left(x\right)\ =\ x^2-2x-15$  has vertex at  $\left(2,\ -15\right)$  

•  $f\left(x\right)\ =\left(x-1\right)^2-16$  has vertex at  $\left(1,-16\right)$  

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Which of the following is correctly paired with the feature it reveals

• $f\left(x\right)\ =\ \left(x\ -6\right)\left(x+4\right)$ has zeros at $x=6$ and $x=-4$

• $f\left(x\right)=x^2-2x+24$ has $f\left(0\right)=-24$

• $f\left(x\right)\ =\ \left(x-1\right)^2-23$ has vertex $\left(1,\ 23\right)$

• $f\left(x\right)=\left(x-1\right)^2-23$ has $f\left(0\right)=-23$

Which of the following correctly shows the vertex of this graph

• f(x) = (x -5)² + 1

• f(x) = (x - 1)² - 5

• f(x) = (x + 1)² - 5

• f(x) = (x + 5)² +1

Where is the vertex of this quadratic?

 $y=\left(x-1\right)^2+7$  

• (1, 7)

• (-1, 7)

• (7, 1) 

• (0, 7) 

Which form is this in?  $y=3x^2-7x+2$  

• Intercept

• Standard

• vertex

• Cubic

What's the y-intercept? $y=2x^2+6x+7$  

• (0, -7)

• (7, 0)

• (0, 7)

• (-7, 0)

Tags

CCSS.HSF-IF.C.7A

What is the vertex of
 $f(x)=2(x-5)^2+12$  

• (-5, -12)

• (5,-12)

• (5, 12)

• (-5, 12)

In which form is this equation?  $y=(x-3)(x+8)$  

• Standard

• Factored

• Vertex

• Parabolic

What's the y-intercept?  $y=2x^2+6x+7$  

• (0, -7)

• (7, 0)

• (0, 7)

• (-7, 0)

Tags

CCSS.HSF-IF.C.7A

What is the minimum? $y=(x+4)^2-6$  

• -6

• 6

• -4

• 4

Tags

CCSS.HSF-IF.C.7A