Vocabulary
Every quadratic equation has a U-shaped graph called this.
What is parabola?
For the vertical motion function, where t is the time in seconds and h(t) is the resulting height in feet
h(t) = -16t2 + 55t + 20
the initial height is _____________
You must include the proper unit!
20 feet
Name the x-intercepts. y=2(x-2)(x+6)
What are (2,0) and (-6,0)?
or
What are 2 and -6?
Name the vertex y= (x-3)2 +4
What is (3,4)?
Rewrite the following quadratic function in standard form:
f(x) = -4(x - 3)2+6
-4x2 + 24x - 30
The highest or lowest point on a parabola.
What is the vertex?
Write a quadratic function to model the vertical motion situation if the initial velocity is 32 ft/sec and the initial height is 72 feet. Use the model
h(t) = -16t2 + v0t + h0
h(t) = -16t2 + 32t + 72
Name the x-intercepts y=(x)(x-2)
What are (0,0) and (2,0)?
or
What are 0 and 2?
y= (x+1)2 - 8
What is (-1, -8)?
What is the axis of symmetry for
y = (x+2)(x-2)
x=0
When a quadratic equation is written in this form
y = ax +bx + c
it is called _____________ form.
What is the standard form?
For the following vertical motion situation where t represents time in seconds, how long was the object in the air?
h(t)= -16t2 + 32t +48
Include the unit!!
3 seconds
Name the y-intercepts. y = x2 - 4
What is (0,-4)
or
-4
y=(x+4)(x-4)
What is (0,-16)?
What is the axis of symmetry for
f(x)= 2x2 + 5x + 3
x = -1.25
The constant term c, in the quadratic equation
y=ax2+bx+c tells us the __________________.
What is the y-intercept?
For the vertical motion model, where h(t) is the height in feet and t is the time in seconds
h(t) = -16t2 + 36t + 4
What is the maximum height?
20 feet
Name the x-intercepts y = x2 - x - 2
What is (-1,0) and (2,0)?
Name the vertex x2 - 4x - 5 = 0
What is (2,-9)?
What interval is the function increasing
f(x) = -4x2 + 24x - 30
x < 3
The line that runs through the vertex and divides the parabola in half.
What is axis of symmetry?
The quadratic function f(x)= -3x2 + 68x - 183 shows the profit for a new model of headphones as a function of price x. The price generating the highest profit is _________________. (Round to the nearest cents place)
$11.33
Name the x-intercepts. y= (x-1)2 + 1
What is None?
Name the vertex y = 2x2 + 4x - 6
What is (-1,-8)?
What interval is the function decreasing
y= 2(x - 5)2 + 7
x < 5