Vertex Form Assessment Review

If given the equation

y = 3(x + 5)² - 4,

what is the vertex of the parabola?

**Use parenthesis and no spaces**

Given the equation for this parabola:
 y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

• Maximum

• Minimum

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

Identify the vertex and whether the graph opens up or down.

• (5, 2); opens up

• (5, 2); opens down

• (-5, 2); opens up

• (-5, 2); opens down

A parabola has a vertex at (-3,2).

Where is the axis of symmetry?

**Write as an equation with no spaces**

Convert the equation y= x2+4x into vertex form.
**No spaces and use the ^ key to write your exponent. For example; x^2 is the same as   $x^2$  **
  

Which of the following shows
f(x) = x² - 8x + 1
written in vertex form?

• f(x) = (x - 4)² - 15

• f(x) = (x - 4)² + 17

• f(x) = (x - 4)² - 17

• f(x) = (x - 4)² + 65

Which function is equivalent to
y = x² - 6x + 10?

• y = (x + 3)² - 1

• y = (x - 3)² + 1

• y = (x + 6)² - 10

• y = (x - 6)² + 10

If the blue graph is f(x) = x²

then the red must be...

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

Which of the following is a transformation of the graph y = (x - 5)² ? 

• Shifts right 5.

• Shifts left 5.

• Shifts up 5.

• Shifts down 5.