Find the vertex of this parabola. y=-2x+4x+12
2 answers:
Answer:
Vertex of the parabola is ( 1 , 14 ).
Step-by-step explanation:
Given Equation of parabola is
We have to find the vertex of the parabola.
We first convert the given equation of parabola in standard equation of parabola using completing the square method.
Standard equation of parabola,
here, ( h , k ) is coordinates of the vertex of the parabola.
consider,
y = -2x² + 4x + 12
y = -2( x² - 2x - 6 )
y = -2 ( x² - 2x + 1² - 1² - 6 )
y = -2 ( x -1 )² - 7 × ( -2 )
y - 14 = -2 ( x - 1 )²
By comparing,
vertex = ( 1 , 14 )
Therefore, Vertex of the parabola is ( 1 , 14 ).
You might be interested in
Hi there!
I can see why you've posted a question like this here - For adding, subtracting, multiplying, or dividing fractions by whole numbers can be difficult to come out with a precise answer, so let me make it look easier for you!
So, the steps are:
Smush the 2 (whole number) and the 2 (the numerator of the fraction) together on top so its (2)(2) over 6. I can show you what I mean, if you'd like.
This is what it should look like.
Now, what is 2 times 2? You can use a calculator for this part.
Now, we can get to the last part, my favorite one!
Simplify down to
.
How did we do it? EASY!
See what number does evenly into both numerators and denominators. In this case, 2 goes into 4 twice, and 2 goes into 6 three times, so we're left with our beautiful answer .
That wasn't so bad, was it? You can use this as a guide for figuring out math problems like these, in case you're stuck again. But just in case, message me if you need anymore help! :D