Vertex Review (11/11 G out)

Which of the following shows a quadratic function in vertex form?

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

• $g\left(x\right)=x^2-2x-3$

• $h\left(x\right)=\left(x-1\right)^2-4$

What is the vertex of the equation  $h\left(x\right)=\left(x-1\right)^2-4$  

• (1,-4)

• (-1,4)

• (-1,-4)

• (1,4)

Which graph opens downwards and has a vertex at (2,-1)

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

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

•  $h\left(x\right)=-\left(x-2\right)^2-1$  

•  $j\left(x\right)=\left(x-2\right)^2-1$  

Which graph opens upwards and has a vertex at (3,4)

•  $f\left(x\right)=-\left(x-3\right)^2+4$  

•  $g\left(x\right)=\left(x+3\right)^2-4$  

•  $h\left(x\right)=-\left(x-3\right)^2-4$  

•  $j\left(x\right)=\left(x-3\right)^2+4$  

Which graph opens upwards and has a vertex at (-1,2)

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

•  $g\left(x\right)=\left(x+1\right)^2+2$  

•  $h\left(x\right)=-\left(x-1\right)^2-2$  

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

From standard form, which of the following are methods of finding the x-value of the vertex?

• using the equaton: $-\frac{b}{2a}$  

• Finding the midpoint of the zeros

• Plugging in y

• Switching the signs

From standard form, which of the following are methods of finding the y-value of the vertex?

• using the equaton: $-\frac{b}{2a}$  

• Finding the midpoint of the zeros

• Plugging in the x-value of the vertex

• Switching the signs

What is the vertex of the equation: $f\left(x\right)=x^2-2x-3$  

• (1,4)

• (-2,-3)

• (2,-3)

• (1,-4)

What is the vertex of the equation: $f\left(x\right)=x^2+2x-3$  

• (-1,4)

• (-2,-3)

• (2,-3)

• (-1,-4)

Which shows the following equation in vertex form?: $f\left(x\right)=x^2+2x-3$  

•  $g\left(x\right)=\left(x-1\right)^2-4$  

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

•  $g\left(x\right)=\left(x+2\right)^2-3$  

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