Quadratic Equations

Quadratic Equations

Multiple Choice

The graph of a quadratic function is called

• a line
• a hyperbola
• a parabola
• a cubic

Multiple Choice

What are the green dots called?

• axis of symmetry
• vertex
• parabola
• roots or x-intercepts

Multiple Choice

What is the green dashed line called?

• roots or x-intercepts
• parabola
• axis of symmetry
• line of dashes

Multiple Choice

Find the axis of symmetry for
f(x) = x²- 8x + 15.

• x = -4
• x = 4
• y = 4
• y = -4

Multiple Choice

Find the vertex  y = x² - 2x - 5

• V(-2, 10)
• V(-1, 15)
• V(1, -6)
• V(1, -12)

Multiple Choice

Find the zeros of the equation: 
(x+10)(x-2) = 0

• 10 and 2
• -2 and 10
• -10 and 2
• -2 and -10

Multiple Choice

Solve the equation by factoring.

• x = {3,8}

• x = {-3,8}

• x = {3,-8}

• x = {-3,-8}

Multiple Choice

identify the roots

4x² +9x = 12x

• x = {0, 3/4}

• x = {0, -3/4}

• x = {0, 4/3}

• no solution

Multiple Choice

How many solutions does this graph have?

• one
• two
• no solutions
• cannot be determined

Multiple Choice

Does this graph have any roots?

• yes

• no

• I am not sure.

Multiple Select

What can the roots to a quadratic equation be called?

• zeros

• solutions

• x-intercepts

• none of the choices

Multiple Choice

Solve the equation using the quadratic formula.

x² + 7x = x - 10

• -6/2 + √4

• -6/2 - √4

• no solution

• ∅

Multiple Choice

Solve using the quadratic formula.
2x² - 9x - 35 = 0

• x = 7/2, x = -6
• x = -5/2, x =5
• x = -3/7, x =6
• x = -5/2, x = 7

Multiple Choice

 $2m^2=-2m+12$  
Solve using the quadratic formula.

•  $x=2,-3$  
  

•  $x=3,-2$  
  

•  $x=1\pm\sqrt{13}$  

• No Solution

Multiple Choice

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

• No Real Solution

Multiple Choice

The height of a water balloon that is launched into the air is given by h(t) = -5x²+20x+25. When will the balloon explode on the ground?

• 5 seconds

• 1 second

• 2 seconds

• 3 seconds

Multiple Choice

A ball is thrown into the air with an upward velocity of 40ft/s. Its height h in feet after t seconds is given by the function :

h(t) = -16t² + 40t + 10

How many seconds does it take the ball to reach its maximum height?

• 1.25 seconds

• 1.4 seconds

• 2.5 seconds

• 2 seconds

Multiple Choice

Rafael 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 = -5t² + 45

When is the ball at ground level?

• only at t = 0 seconds

• only at t = 3 seconds

• only at t = 9 seconds

• at both t = 0 seconds and t = 3 seconds

Multiple Choice

Jason launched a rocket for a physics experiment. This equation can be used to find the height (h), in feet, of the rocket after t seconds.

h = -16t2 + 288t + 8

How many seconds will it take for the rocket to reach a height of 1,304 feet?

• 9.0 seconds

• 9.6 seconds

• 81.0 seconds

• 82.0 seconds

Multiple Choice

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

Multiple Choice

You jump off a 24 foot high cliff and your fall is modeled by the function:

h(t) = -16t² + 8t + 24

How long would it take you to hit the water?

• 8 seconds

• 1 second

• 1.5 seconds

• 1/4 second

Multiple Choice

You jump off a 24 foot high cliff and your fall is modeled by the function:

h(t) = -16t² + 8t + 24

When would you reach 16 feet above the water?

• 8 seconds

• 1 second

• 1/2 second

• 1/4 second

Multiple Choice

A diver is standing on a platform above the pool. He jumps form the platform with an initial upward velocity of 8 ft/s. Use the formula: h(t) = −16 t² + 8t + 24

How high is the platform?

• .25 ft

• 24 ft

• 25 ft

• 8 ft