Which function has a minimum and is transformed to the right and down from the parent function, f(x) = x2?
2 answers:
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For this case we must find the product of the following expression:
We apply distributive property term to term:
We add similar terms:
Finally, the expression is as:
Answeer:
If <span>r^2=x^2+y^2 then
</span>y^2=r^2-x^2
y=
</span>y^2=r^2-x^2
y=
Since x is the number of seconds it took the rock to hit the water, x is the value that we are looking for. When the rock hits the water, it's height is 0, therefore, f(x) = 0. So, we can set the expression on the right equal to 0, and solve for 0. Let's do just that:
We can divide by -16, nothing will happen because 0 divided by anything is 0:
To factor any trinomial in standard form (given below), we must find two numbers that add to "b" and multiply to "c":
So, for this specific question, let's find two numbers that add to -8 and multiply to 9. These are clearly 9 and -1. We can write it in this way now:
Both answers would be valid, but there can't be negative time, so your answer is "It takes 9 seconds for the rock to reach the water."
We can divide by -16, nothing will happen because 0 divided by anything is 0:
To factor any trinomial in standard form (given below), we must find two numbers that add to "b" and multiply to "c":
So, for this specific question, let's find two numbers that add to -8 and multiply to 9. These are clearly 9 and -1. We can write it in this way now:
Both answers would be valid, but there can't be negative time, so your answer is "It takes 9 seconds for the rock to reach the water."