Y= -2(x+5)^4 A few things about graphing this ? HELP?

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The function y = -2(x + 5)^4 resembles a parabola but is actually a quartic function, opening downwards with a maximum point. To find the y-intercept, substitute x = 0 into the equation. For the x-intercept, set y = 0 and solve for x, noting that the right side must equal zero. The key to solving for x is recognizing that if the expression equals zero, the term inside the parentheses must also equal zero. Understanding these intercepts is crucial for accurately graphing the function.
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y= -2(x+5)^4 A few things about graphing this ? HELP?

I know how to graph most parts of this function except for these few little details that are bugging me HELP?
y= -2(x+5)^4

It's a parabola.
then you just need to figure out x and y intercepts, i know the y i just figured it out, but how do you figure out the x intercept? In words can anyone explain? I already have the answer in the book, just not the method for it in words. when I tried to get the other intercept this is what happened, well, so far i set everything equal to zero, to find the x intercept. but there's nothing else to do to simplify to solve for y, do you factor it?
 
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Jurrasic said:
I know how to graph most parts of this function except for these few little details that are bugging me HELP?
y= -2(x+5)^4

It's a parabola.
then you just need to figure out x and y intercepts, i know the y i just figured it out, but how do you figure out the x intercept? In words can anyone explain? I already have the answer in the book, just not the method for it in words. when I tried to get the other intercept this is what happened, well, so far i set everything equal to zero, to find the x intercept. but there's nothing else to do to simplify to solve for y, do you factor it?
It is shaped like a parabola, but it is not a parabola! Parabolas are quadratic, i.e. a polynomial with the highest power being 2.

To solve for the y-intercept, you plugged in x=0 into the equation, yes? To solve for the x-intercept you just need to solve for x when y=0. Just plug y=0 into the equation and see if you can solve for x. It's quite easy too, just think of what x needs to be in order for the right side to be equal to 0.
Hint: If an=0 for some non-zero n, then a=0.
 


What I said here was wrong.
 
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The graph only appears like a parabola. It will open down so there is a highest point. The rest is like Mentallic said.
 
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