Quadratics - Vertex Form

Quadratics:

Vertex Form

Multiple Choice

What is vertex form?

• $y=a\left(x-h\right)^2+k$

• $y=a\left(x-h\right)+k$

• $y=a\left(x+h\right)-k$

• $y=ax^2+bx+c$

Multiple Choice

What is the vertex for $y=4\left(x-2\right)^2+3$ 

•  $\left(-2,\ 3\right)$  

•  $\left(2,\ -3\right)$  

•  $\left(4,\ 3\right)$  

•  $\left(2,\ 3\right)$  

If you got that one wrong,

review these notes

Multiple Choice

What is the vertex?

• (-1,-2)
• (-2,-1)
• (-3,-1)
• (2,1)

Multiple Choice

What is the vertex of the parabola: $y=-\left(x-3\right)^2-4$ 

•  $\left(3,\ 4\right)$  

•  $\left(-3,\ 4\right)$  

•  $\left(-3,\ -4\right)$  

•  $\left(3,\ -4\right)$  

Multiple Choice

Does the parabola of the following equation open up or down?

 $y=\left(x-2\right)^2+3$  

• up

• down

If you got that one wrong,

review these notes

Multiple Choice

What causes the graph of y = x² to open downward?

• multiply the x² by a fraction
• multiply the x² by a decimal
• multiply the x² by a negative number
• multiply the x² by a number greater than 1

Multiple Choice

What is the green dashed line called?

• roots or x-intercepts
• parabola
• axis of symmetry
• line of dashes

Multiple Choice

What is the axis of symmetry for $y=-\left(x-2\right)^2+3$ 

•  $4$  

•  $2$  

•  $x=2$  

•  $x=-2$  

If you got that one wrong,

review these notes

Multiple Choice

The axis of symmetry line passes through which point?

• y-intercept

• any random point

• vertex

• symmetrical point for the vertex

Multiple Choice

What is the equation for axis of symmetry?

• y=3

• x=3

• x=5

• x=1

Multiple Choice

What steps transform the graph $y=x^2$ 

to  $y=\left(x+2\right)^2-5$  

• shifted 2 units left and 5 units down

• shifted 2 units left and 2 units up

• shifted 2 units right and 5 units down

• shifted 5 units right and 2 units up

If you got that one wrong,

review these notes

Multiple Choice

What steps are taken to transform $y=x^2$ to  $y=\left(x+4\right)^2$  ?

• shifted down 4 units

• shifted left 4 units

• shifted right 4 units

• shifted up 4 units

Multiple Select

Select all the transformations performed on $y=x^2$ to create the graph  $y=-\left(x-4\right)^2+2$  

• reflected/flipped

• right 4 units

• left 4 units

• up 2 units
  

• down 2 units

Multiple Choice

What is the equation 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