Algebra 1 Quadratics Review

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 transformation transforms the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a vertical translation 4 units up

• a vertical translation 4 units down

• a horizontal translation 4 units to the left

• a horizontal translation 4 units to the right

What transformations occurred to the quadratic parent function f(x) = x² when transformed into g(x)=1/2(x+9)²-1?

• Reflect, horizontal compress by 1/2, left 9, down 1

• Vertical compress by 1/2, left 9, down 1

• Horizontal Compress by 1/2, right 9, down 1

• Vertical Stretch by 1/2, left 9, down 1

Which function has a translation of 2 units right and a vertical stretch by a factor of 5?

• f(x)= 5(x - 2)²

• f(x) = 5(x + 2)²

• f(x) = (x - 2)² - 5

• f(x) = (x + 2)² + 5

How does y=.35x² compare to y=x²?

• They are the same graph. 

• y=.35x² is wider than y=x².

• y=.35x² is more narrow than y=x².

• y=.35x² is moved down from y=x².

Transformation: 
Which equation would represent a parabola that is WIDER than the parent function, f(x) = x²? 

• g(x) = x² + 4

• g(x) = 4x² 

• g(x) = x² - 4 

• g(x) = ¹/₄x² 

In the equation f(x)=9(x-5)²-64 , what happens to the parabola?

• Compress by 1/9, left 5, down 64

• Stretch by 9, left 5, down 64

• Stretch by 9, right 5, up 64

• Stretch by 9, right 5, down 64

Is this point a max or min?

• max

• min

Find the vertex of the quadratic:
y = -2x² + 4x + 3

• (0, 3)

• (-1, 5)

• (1, 5)

• (1, -5)

Which of the following is vertex form of a quadratic equation?

• y = a(x - p)(x - q)

• y = a(x - h)² - k

• y = a(x - h)² + k

• y = a(x + h)² + k