SOLUTION: Hello,
My name is Michael. I usually do well in Algebra 2, but recently failed my vertex-form and quadratic equations test.
Question: If given a graph, with a vertex of (-3,4)
Algebra.Com
Question 25750: Hello,
My name is Michael. I usually do well in Algebra 2, but recently failed my vertex-form and quadratic equations test.
Question: If given a graph, with a vertex of (-3,4) and points (-4,3) and (-5,0).. how do I write this in standard form?
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
If given a graph, with a vertex of (-3,4) and points (-4,3) and (-5,0).. how do I write this in standard form?
IF YOU HAVE A GRAPH YOU KNOW THE VERTEX/CURVE POSITION IS ALONG X OR Y AXIS.THAT IS IT REPRESENTS MAXIMUM VALUE OF Y OR MINIMUM VALUE OF Y..IN ANY CASE IF THE VERTEX IS (-3,4),IT MEANS VERTEX OCCURS AT X=-3 AND ITS VALUE IS Y=4..SO THE EQN. IS
(Y-4)=K(X+3)^2.....OR....(X+3)=K(Y-4)^2..SINCE BOTH EQUATIONS SATISFY THE VERTEX COORDINATES
NOW WE TRY THE OTHER 2 POINTS TO FIND WHICH IS APPROPRIATE.
PUTTING (-4,3),WE GET
-1=K(-1)^2=K......................OR.............-1=K(-1)^2=K
PUTTING (-5,0)...WE GET
-4=K(-2)^2=4K..K=-1...............OR..............-2=K(-1)^2=K..WHICH IS NOT MATCHING WITH THE ABOVE..SO
Y-4=-(X+3)^2.... IS THE EQN.YOU CAN PLOT AND SEE AS BELOW
THIS IS FOR THE CORRECT ANSWER.ALL 3 POINTS ARE ON THE CURVE.THE CURVE IS ALONG Y AXIS.
THIS IS FOR THE WRONG ANSWER.ONLY 2 POINTS ARE ON THE CURVE.THE CURVE IS ALONG X AXIS.
RELATED QUESTIONS
Quadratic equations are not my strong suit and I recently failed a quiz based on them. My (answered by richard1234)
hello, so i recently had a 90% in my algebra 2 class which is an a- at my school. i took... (answered by Theo)
Hello,
My name is Traci and I am the mother of 7th grade pre-algebra student. She... (answered by ewatrrr)
Hello there,
My name is Michael, I'm 26 years old and I'm planning to go back to... (answered by MathLover1)
hello, my question is concerning parabolas. I have to find the equation of the parabola... (answered by stanbon)
Hello.. :)
Can you help me understand word problems? cause I failed in my last... (answered by rothauserc)
Hello! I am working on quadratic equations this week, in my Algebra class (section 11.4,... (answered by mananth)
I have a 66% in my college algebra class and I might have failed the final that is worth... (answered by jim_thompson5910)
Hello!
I just wrote my Anatomy and Physiology test on Monday and I just received my... (answered by ankor@dixie-net.com)