Understanding quadratic functions

Find the vertex of the following problem.

 $y=-\left(x+3\right)^2-4$  

Please write your answer as an ordered pair without any spaces and a comma separating your x and y input.   Example: (2,3)
(2.7 Notes)

If given the equation
 $y=3(x+5)^2-4$ ,
what is the vertex of the parabola?

•  $(5,-4)$  

•  $(-5,-4)$  

•  $(-15,-4)$  

•  $(15,-4)$  

the line of symmetry for a quadratic function. x = h, where h is the x-coordinate of the vertex.

• axis of symmetry

• translation

• transformation

• dilation

Find the line of symmetry of f(x)= -2x²-16x+3.

• x=-8

• x=-4

• x=4

• x=8

Parts of a Parabola:

The axis of symmetry goes through the _________ on a parabola

• Vertex

• X-Intercept

• Y-Intercept

• Focus

 $f\left(x\right)\ =\ -3x^2\ +\ 2$  
Determine the vertex and axis of symmetry for the quadratic function. Draw a rough sketch of the graph.

a = 
b = 
c = 
Axis of symmetry = 
Vertex = 

What is the vertex of the following quadratic function?

y = x² - 4x + 8

• Vertex (2,4)

• Vertex (3, -8)

• Vertex (-2, 4)

• Vertex (-4, -10)

When the vertex is the highest point it is called ____

• tipping point

• maximus prime

• minimum

• maximum

What is the axis of symmetry of a quadratic function?

• The line that divides a parabola in half

• The x-value of the vertex

• The place where the graph of the function crosses the x-axis

• The minimum or maximum point of a quadratic function