Unit 2.2 Application of Quadratics Review for Test

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

How did we transform from f(x) =x² 
to
g(x) = -3x²

• reflection in x-axis and vertical shift down
• reflection x-axis and vertical stretch
• horizontal stretch
• reflection x-axis and vertical compression

How did we transform from the parent function?
g(x) = -1/5(x - 1)² + 7

• reflection, vertical compression, horizontal right, vertical up
• vertical compression, horizontal shift left, vertical shift up
• reflection, horizontal shift right, vertical shift down
• no changes were made to y = x²

Which quadratic function is represented by the graph?

• y = 2(x - 4)² + 5
• y = 2(x + 4)² + 5
• y = -2(x - 4)² + 5
• y = -2(x + 4)² + 5

Tags

CCSS.HSF-IF.C.7A

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)

Write the equation of the quadratic function in intercept form (factored).

• y = (x + 1)(x - 1)

• y = x² + 1

• y = ( x - 1 )²

• y = ( x + 1 )²

Write the equation of the parabola shown.

• y = 2x² + 4x - 5
• y = 2x² - 4x + 5
• y = 2x² + 4x + 5
• y = 2x² - 4x - 5

Tags

CCSS.HSF-IF.C.7A

Find the solution.

• (2,3) and (3,4)
• (-3,-15) and (4,-8)
• (-3,10) and (8,4)
• (-8,3) and (-4,10)

Tags

CCSS.HSA.REI.C.7

Find the solution:
y = x² - 4x + 6
y = x + 2

• (3, 1) and (6, 4)
• (-1, 1) and (4, 2)
• (1, 3) and (4, 6)
• (1, 4) and (3, 6)

Tags

CCSS.HSA.REI.C.7

The system of a linear and a quadratic function can have the following number of solutions, EXCEPT

• No solution
• 1 solution
• 2 solutions
• more than 2 solutions

Tags

CCSS.HSA.REI.C.7