AOS/Vertex
What is the formula to find the axis of symmetry from standard form?
AND
How can you find the vertex if you know the axis of symmetry?
What is x = -b/2a ?
Since the AOS is the x value of vertex, then input the AOS into the function for x to get the y value of the vertex.
What is the discriminant and what will it tell you about the parabola?
What is b2-4ac AND the number of solutions or real zeros?
Or
What is whether the zeros are real x-intercepts or imaginary?
What are the a,b, and c terms of the following equation? 4x2+7x-9
What is a = 4, b = 7 and c = -9.
A baby bird jumps from a tree branch and flutters to the ground.
On the graph, which critical point corresponds to the bird's height above the ground before he jumped?
What is the y - y-intercept?
What is the AOS of the parabola:
x2 - 2x + 3
What is x =1
What is the discriminant of x2 - 2x + 3 what does that tell you about the parabola?
What is -8 ; the parabola has no x-intercepts (has not real solutions, just imaginary solutions)
What are the zeros of x2 + 2x + 1?
What is x = -1?
A certain company's main source of income is a mobile app.
The company's annual profit (in millions of dollars) as a function of the app's price (in dollars) is modeled by
P(x)= -2(x - 3)(x - 11)
What would be the company's profit if the app price is 0 dollars?
What is -66 million dollars?
The will lose money if they give the app away for free.
What is the AOS and vertex of the function:
3x2+12x+2 ?
What is x = -2 and (-2,-10) ?
What is the discriminant of -6x2 +30x +36 ?
What is 1764?
What are the x-intercepts of the equation 8x2+5x-2?
What is
x = -5/16 + sqrt[89]/16
and
x= -5/16 - sqrt[89]/16
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation.
Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=−16x2 + 198x + 77
What is 689.6 feet?
What is the AOS of the function:
1/2x2 - 1/4x + 2
What is x= 1/4 ?
What is the discriminant of 3 + 12x2 - 12x and what does that tell you about the parabola?
What is 0 ; the parabola has only one real solution / x-intercept ?
What are the x-intercepts of 3x2+4x-8?
What is
x = -2/3 + 2sqrt[7]/3
and
x = -2/3 - 2sqrt[7]/3
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation.
Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of a second.
y = −16x2 + 235x + 129
What is 15.22 seconds?
The vertex of
-3x2+24x - 5 is (4,17) -- True or False
If false, what is the correct vertex?
What is FALSE? Correct vertex is (4, 43)?
What is discriminant of -70x - 52x2 and what does it tell you about the parabola?
What is 4900 ; the parabola has 2 real solutions/x-intercepts?
What are the x-intercepts for the equation
7x2-6x+3?
What is
x = 3/7 + 2isqrt[3]/7
and
x = 3/7 + 2isqrt[3]/7
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation.
Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y= −2x2+ 107x− 633
What is $26.75 (best price)?