Quadratic Features
In y=x2 + 4x+ 1, is the parabola opening up or down?
What is "UP"
What is the vertex of y= (x-3)2 +2?
(3,2)
A quadratic has one root at -4 with multiplicity 2. What is its x-intercept?
What is "(-4,0)
Which form makes the maximum/minimum easiest to identify: standard, factored, or vertex?
Vertex
Harry's football is modeled by h(t) = -16t2 + 48t. At what time does the football return to the ground?
3 seconds
Identify a, b, c: y=2x2-7x+3
What is:
a=2
b=-7
c=3
The parent function is f(x) = x2. For g(x) = f(x + 3), which direction does the graph shift?
Left/ Right & How many times
Left 3 units
A quadratic has one root at -4 with multiplicity 2. What is its axis of symmetry?
What is "x=-4"
What is the area of a rectangle represented by the expression x(2x+5)?
2x2+5x
An object is dropped from 144 feet: h = -16t2 + 144. What is its starting height?
144 ft
For y = -2x2 + 4x + 6, find the zeros
x=-1
x=3
For y = -2x2 + 8x + 3, find the vertex and maximum value
Vertex= (2,11)
Maximum= 11
True or False: The point (1,32) is a point on the graph h(t)= -16t2+48t
True
What is the area of a rectangle represented by the expression (3x)(x+4)?
3x2+12x
A soccer ball follows h(t) = -5t2 + 20t + 2. About when does it hit the ground? Round to the nearest hundredth.
4.10
For y = -2x2 + 4x + 6, give the axis of symmetry and maximum value
Axis= 1
Maximum Value= 8
What is the vertex of y=2(x+4)2-2?
(-4,-2)
SURPRISE: Random Question Worth 800 points: Is this a situation in which the quantity changes at a constant rate per unit interval relative to another?
The population of tree frogs in a forest has been declining at a rate of 10% per year from the previous year for the past 5 years.
If the zeros are 3 and 1 and a = -3, write the quadratic in factored form.
Hint: factored form = a(x-r1)(x-r2)
-3(x-3)(x-1)
Jermaine is studying a quadratic function. He finds the function has only one root at –4, with a multiplicity of 2.
Which statements below MUST be true about the graph of Jermaine's function?
i. His parabola must open down
ii. The verse of his parabola must be (-4,0)
iii. The x-intercept of his parabola must be (-4,0)
iv. The axis of symmetry of his parabola must be x= -4
What is ii, iii, iv
A quadratic has vertex (2, 11) and opens downward. What does 11 represent in context of maximum or minimum.
Maximum
The parent function f(x)= x2 is transformed for g(x)=f(x+3). What is the vertex of g(x)?
(-3,0)
True or false: (x+6)(2x+3) & 2x2+15x+18 have the same vertex.
True
Factor: x2 - 8x + 16
What is (x-4)2
True or False:
The following equations are equal
(x+4)(x-7) & x2+11x-28
False