Standard Form
What is (x+14)(x+14) in standard form?
x^2+28x+196
What are the zero(s) of the following quadratic function: (x-9)(x+6)
x=9 and x=-6
Given a quadratic function, ax^2 + bx + c, what is the x-coordinate of the vertex?
Hint: Your answer will have variables
x = –b/(2a)
Factor the expression x^2+9x-36.
(x+12)(x-3)
A ball is thrown into the air with an initial upward velocity of 48 ft/s. It height h in feet after t seconds is given by the function h(t) = – 16t^2 + 48t + 4.
What height will the ball be when 2 seconds has passed?
After 2 seconds, the height = 36 feet
Identify the axis of symmetry and vertex of the function: y= 3x^2 - 12x +10
axis of symmetry: x=2
vertex: (2, -2)
Use the quadratic formula to find the roots of this quadratic function: y=-2x^2+3x+5
(-1, 0) and (5/2, 0)
What is the vertex of the quadratic function y=x^2+6x+9?
(-3,0)
Factor the expression x^2 – 4x – 60.
(x – 10)(x + 6)
A ball is thrown into the air with an initial upward velocity of 48 ft/s. It height h in feet after t seconds is given by the function h(t) = – 16t^2 + 48t + 4.
In how many seconds will the ball reach its maximum height?
1.5 seconds
A rock club's profit from booking local bands depends on the ticket price. Using past receipts, the owners find that the profit p can be modeled by the function p=-15t^2+600t+50, where t represents the ticket price in dollars. What ticket price yields the maximum profit? What is the maximum profit?
A ticket price of $20 yields the maximum profit of $6050.
Using the quadratic formula, find the roots of 2x=x^2-3.
(3, 0) and (–1, 0)
Find the vertex of f(x)=x^2-4x
(2,-4)
Factor the expression x^2 + 17x + 66.
(x + 6)(x + 11)
A ball is thrown into the air with an initial upward velocity of 48 ft/s. It height h in feet after t seconds is given by the function h(t) = – 16t^2 + 48t + 4.
What is the maximum height the ball will reach?
Maximum height is 40 feet