Answer:
The 5x^2 vs -5x^2 will reflect over "X" axis
the +1 vs -2 will shift the graph down three units
the first answer is the correct answer
Step-by-step explanation:
Answer:
![\displaystyle Maximum: 11](https://tex.z-dn.net/?f=%5Cdisplaystyle%20Maximum%3A%2011)
Step-by-step explanation:
Convert this Quadratic Equation to Vertex Form by completing the square,
:
![\displaystyle -5x^2 -10x + 6 \\ \\ -5x^2 - 10x + 25 + k \\ -5[x^2 + 2x - 5] + k \\ -5[x^2 + 2x + 1] + k → -5[x^2 + 2x + 1] + 11 → f(x) = -5[x + 1]^2 + 11 \\ \\ Vertex: [-1, 11]; 11 = Maximum](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-5x%5E2%20-10x%20%2B%206%20%5C%5C%20%5C%5C%20-5x%5E2%20-%2010x%20%2B%2025%20%2B%20k%20%5C%5C%20-5%5Bx%5E2%20%2B%202x%20-%205%5D%20%2B%20k%20%5C%5C%20-5%5Bx%5E2%20%2B%202x%20%2B%201%5D%20%2B%20k%20%E2%86%92%20-5%5Bx%5E2%20%2B%202x%20%2B%201%5D%20%2B%2011%20%E2%86%92%20f%28x%29%20%3D%20-5%5Bx%20%2B%201%5D%5E2%20%2B%2011%20%5C%5C%20%5C%5C%20Vertex%3A%20%5B-1%2C%2011%5D%3B%2011%20%3D%20Maximum)
So as you can see, each time we broke the equation down, we used the formula
to complete the square.
** In the Vertex Formula, −h gives the OPPOSITE terms of what they really are, so do not forget it.
I am joyous to assist you anytime.
My mom has trouble understanding math... I decided to give her an easy equation. 3/6 km+1/5km = 15/40 +8/40. She asked me what I did. I told her that I multiplied both equations to get a denominator of 40. Then she said "what about those top ones" "oh... well" I said " whatever I multiplied to the bottom I have to do to the top!" Anyway back to the problem. Well... somehow all of this equals 23/40. This is because when you add 15 + 8 that equals 23! So wait a sec what is this on the bottom she asked. well... I am unsure why don't you tell me. She said that the 4 needed to have been added to it.. but the four was too much so they took away one. Good enough! The answer is 3 and 17/40
Answer:
Slope is 4/3 and y-intercept is -3
hope that helps and is right
A(3,4) B(-3,2) C(-2,-4) D(6,-3)