anonymous
  • anonymous
I WILL MEDAL!! An expression is shown below: f(x) = -16x2 + 24x + 16 Part A: What are the x-intercepts of the graph of f(x)? Show your work.
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
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FortyTheRapper
  • FortyTheRapper
We will need to set it equal to a number If the X intercept is the point where it crosses the X axis, what does y always equal at that point
anonymous
  • anonymous
so far i have this -16x^2+24x+16 -8(2x^2-3x-2)=0
FortyTheRapper
  • FortyTheRapper
That's a good factor! You found out one of the X intercepts, do you see it?

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mathmale
  • mathmale
Right. In other words, you've set y = to 0. Can you now solve the resulting equation?
mathmale
  • mathmale
In other words, factor (2x^2-3x-2).
anonymous
  • anonymous
so would one of them be (8,0) because -8 + 8 equals 0 right?
FortyTheRapper
  • FortyTheRapper
Not exactly, because its a constant factored out, you don't need to bring it over to the other side
mathmale
  • mathmale
In effect, you're saying that if you substitute x=8 into the original equation, you'd get zero for your answer. Why ot check that?
mathmale
  • mathmale
In other words, does f(x) = -16x2 + 24x + 16 = 0 if x = 8?
anonymous
  • anonymous
I think I have it would it be 2x^2-4x+x-2 2x(x-2) 1(x-2) (x-2) (2x+1) therefore the 0's are 2 and -1?
mathmale
  • mathmale
To help you answer your question: does f(x) = -16x2 + 24x + 16 = 0 if x = 2?
anonymous
  • anonymous
yes it would equal 0
mathmale
  • mathmale
then x=2 is a zero! You can test whether x=-1 is or is not a zero. 8 is NOT a zero.
mathmale
  • mathmale
How many horiz. intercepts has this function? What are they? Express them as points, please.
anonymous
  • anonymous
two i think would it be (-0.25 , 0) and (0.75 , 0)
FortyTheRapper
  • FortyTheRapper
How did you get .75 and -.25 if I may ask?
mathmale
  • mathmale
Actually, you've already found the x-coordinates of the horiz. intercepts: {-1,2}. One such intercept is therefore (-1,0). What is the other?
anonymous
  • anonymous
wait so would it be (-.5,0) too
mathmale
  • mathmale
Emmy, you have already found the zeros of the given function. They are x=-1 and x=2. These are ALSO the x-coordinates of your horiz. intercepts, which are (-1,0) and (2,0). that's it. No further work is necessary. Unfortunately, 9-.5,0) is incorrect.

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