Topic 4 Test Practice

 $d\ =15t^2$  1. The function d =15t^2 represents the distance d in feet that a skydiver falls in t seconds. How long will it will take for the skydiver to fall 550 feet?  Round to the nearest integer

• 2 seconds

• 6 seconds

• 14 seconds

• 26 seconds

Which describes the transformation from f(x) = x^2 to g(x) = x^2 - 8

• A. Vertical translation up by 8 units

• B. Horizontal shift to the right by 8 units

• C. Vertical translation down by 8 units

• D. Reflection across the x-axis

 3. f(x) = x^2 is translated by 4 units down to create g(x). Which function describes the transformation?

•  $g\left(x\right)=\left(x-4\right)^2$  

•  $g\left(x\right)=x^2-4$  

•  $g\left(x\right)=\left(x+4\right)^2$  

•  $g\left(x\right)=x^2+4$  

3. f(x) = x^2 is translated by 6 units to the right to create g(x). Which function describes the transformation?

• $g\left(x\right)=x^{2\ }+6$

• $g\left(x\right)=\left(x-6\right)^2$

• $g\left(x\right)=\left(x+6\right)^2$

• $g\left(x\right)=x^2-6$

 $h\left(x\right)=-\left(x-2\right)^2+16$  5. Amir stands on a balcony and throws a ball to his dog, who is at ground level. The ball's height, in meters above the ground, is modeled by h(x)=-(x-2)^2+16. In which x is measured in seconds. Which is the height of the ball 4 seconds after it is thrown?

• 2

• 10

• 12

• 16

6. The function d = 7t^2 represents the distance d in feet that a race car will travel over t seconds with a constant acceleration of 4 feet per second. Approximately how much time will it take the racecar to travel 995 feet? Round to the nearest integer

• 7 seconds

• 12 seconds

• 17 seconds

• 29 seconds

 $y=\left(x+7\right)^2-5$  7. What are the coordinates of the vertex of the following quadratic function: y = (x + 7)^2 - 5 

• The coordinates of the vertex are (7, 5)

• The coordinates of the vertex are (-7, -5)

• The coordinates of the vertex are (7, -5)

• The coordinates of the vertex are (5, -7)

8. A ball is projected up into the air from the surface of a platform to the ground below. The height of the ball above the ground, in feet, is modeled by the function f(t) = -16t^2 + 56t + 126, where t is the time, in seconds, after the ball is projected. What is the initial height of the platform?

HINT: WHICH VARIABLES TELLS THE INITIAL VALUE

• 16 feet

• 56 feet

• 126 feet

• 182 feet

 $f\left(x\right)=-2x^2\ \ \ \ or\ \ \ g\left(x\right)=\frac{1}{4}x^2\ \ or\ \ h\left(x\right)=5x^2$  Which equation is the  widest wider

• f(x) is wider

• g(x) is wider

• h(x) is wider

 $f\left(x\right)=\ -3x^2+4x-8$  11. Does the parabola open up or down? Is the vertex a minimum or a maximum?

• Opens up, vertex is maximum

• opens down, vertex is a mininum

• opens up, vertex is minumum

• opens down, vertex is a maximum