Algebra II 5.3-5.6 Quiz

Find the quadratic function passing through the points (0, -3), (1, 2), and (2, -1).

• y = - x² + 2x - 3

• y = x² - 2x + 3

• y = x² - 3

• y = - 4x² +9x - 3

Determine what the question is looking for:

Jack is throwing a baseball. What is the highest in the air the ball will get?

• y-intercept

• vertex

• plug in a value for x

• x-intercept

A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. How long does it take the rock to reach its maximum height?

• 1.094 seconds

• 174.141 seconds

• 155 seconds

• 4.393 seconds

• None of the above

A toy rocket is launched from the top of a 48-foot hill. The rocket's height, h(x), is modeled by the

equation h(x) = -16x² + 32x +48 after x seconds. How high was the rocket at 2 seconds?

• 3

• 32

• 48

• 64

• 100

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation

s(t) = –16t² + 64t + 80.

What will be the object's maximum height?

• 2 ft

• 80 ft

• 144 ft

• 64 ft

The height of an object thrown into the air can be modeled by the formula h(t) = -16t² + 70t + 95, where h(t) is in feet after t seconds.
What is the height of the object after 5 seconds?

• 95 feet

• 45 feet

• 70 feet

• 171.56 feet

What is the factored form of the quadratic equation

 $x^{2\ }+5x\ +6=0$  

•  $\left(x-2\right)\left(x-3\right)$

•  $\left(x-2\right)\left(x-3\right)$  

•  $\left(x-1\right)\left(x-6\right)$  

•  $\left(x+1\right)\left(x+5\right)$  

What is the factored form of the quadratic equation

 $x^{2\ }-13x\ +42=0$  

•  $\left(x\ -6\right)\left(x+7\right)$  

•  $\left(x-6\right)\left(x-7\right)$  

•  $\left(x+6\right)\left(x+7\right)$  

•  $\left(x+6\right)\left(x-7\right)$  

Solve the equation by factoring.

• $\left\{-3,\ -4\right\}$

• $\left\{-6,\ -1\right\}$

• $\left\{8,\ 1\right\}$

• $\left\{-1,\ -2\right\}$

Solve the equation by factoring.

• $\left\{3,\ -5\right\}$

• $\left\{-3,\ 2\right\}$

• $\left\{-5,\ -3\right\}$

• $\left\{3,\ -4\right\}$