Quadratics Word Problems

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 H(t) = –16t² + 64t + 80. What will be the object's maximum height?  Note: t stands for time and s stands for height

• 2 ft
• 80 ft
• 144 ft
• 64 ft

Tags

CCSS.HSA.REI.B.4

If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation h(t) = -16t² +128t  (if air resistance is neglected). When will the object reach its maximum height?

• 4 ft
• 0 seconds
• 0 ft
• 4 seconds

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The function f(t) = -5t²+20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground? 

• 4 seconds
• -2 seconds
• -6 seconds
• 6 seconds

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

The profit from selling local ballet tickets depends on the ticket price.  Using past receipts, we find that the profit can be modeled by the function p= -15x² +600x +60 , where x is the price of each ticket.  What is the maximum profit you can make from selling tickets?

• $6060
• $20
• $600
• $10,250

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.1

In order to graph a quadratic equation in standard form, the first two steps are to use the equation _____ to find the axis of symmetry, and then you can plug that value back into the equation to find the _____.

• -b/2a, y value of the vertex
• (x-h)^2, y-intercept
  
• (x-r1), x value of the vertex
• ax^2, vertex

Tags

CCSS.HSF-IF.C.7A

True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing

• True, they all mean the same thing
• False, because the solution and root are the same but the x-intercept and zero are different
• False, because the x-intercept and root are the same but the zero and solution are different
• True, I think... but I don't really know

Tags

CCSS.HSF-IF.C.7A

Standard form of a quadratic equation

• y=x²
• y=ax²+bx+c
• y=mx+b
• y=x

What are the x- intercepts?

• x= 0 and x= -4
• x= 0 and x= 4
• y= 0
• x= 2

Tags

CCSS.HSF-IF.C.7A

.How many zeros does this parabola have? 

• 3
• 2
• 0
• 1

Tags

CCSS.HSF-IF.C.7A

What is the domain of f(x)=x²-4 ?

• −∞ ≤ x ≤ +∞
•  x ≥ -4
• −∞ ≤ y ≤ +∞
•  y ≥ -4

Tags

CCSS.HSF.IF.B.5