3rd Week Assessment - 1st Cycle - 2nd Semester

Which transformation maps the graph of

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

• a reflection across the line x = -2

• a reflection across the line y = -2

• a translation shifting 2 units to the left

• a translation shifting 2 units to the right

What transformation the graph y = x² to

y = 2(x + 5)² - 2?

• Vertical compress by 2, shifted 2 units right and 5 units down

• Vertical stretch by 2, shifted 5 units left and 2 units down

• Vertical stretch by 2, shifted 2 units left and 5 units down

• Vertical compress by 2, shifted 2 units left and 5 units down

What transformation made y = x² to

y = -0.5(x - 4)² + 1?

• Vertical compressed by 0.5, shifted 4 units right and 1 unit up

• Reflected across x-axis, vertical compressed by 0.5, shifted 4 units right and 1 unit up

• Reflected across x-axis, stretched by 0.5, shifted 4 units left and 1 unit up

• Stretched by 0.5, shifted 4 units right and 1 unit down

What is the equation of the quadratic function obtained from vertically compressing the parent function by 0.25 and then shifted up 8 units?

• f(x) = 0.25(x - 8)²

• f(x) = 0.25x² + 8

• f(x) = x²

• f(x) = 0.25x² - 8

What is the equation of the quadratic function obtained from vertically stretching the parent function by a factor of 2 and then vertically shifting up 3 units?

• f(x) = 2(x - 3)²

• f(x) = 2(x + 3)²

• f(x) = 2x² + 3

• f(x) = (x - 2)² + 3

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

Tags

CCSS.HSF-IF.C.7A

If a toy rocket is launched vertically upward from ground level with an initial velocity of 82 feet per second, then its height h after t seconds is given by the equation

h(t) = -16t² + 82t

When will the object reach its maximum height?

• 4 seconds

• 1 second

• 0 second

• 2.56 seconds

Judiel drops a ball from a third-story window. This equation represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds.

h(t) = -5t² + 45

When is the ball at ground level?

• 0 second

• 3 seconds

• 9 seconds

• 5 seconds

A ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h(t) = -16t² + 90t gives the height h of the ball after t seconds.

How many seconds will it take the ball to hit the ground?

• 6.56 seconds

• 5.63 seconds

• 2.81 seconds

• 0 seconds

A flying fish jumps from the water at at initial velocity of 16 feet per second. The equation h(t) = -8t² + 16t models the flying fish's height at any given time, t. What is the maximum height the flying fish jumps?

• 12 feet

• 5 feet

• 7 feet

• 8 feet