SOLUTION: without graphing, find the vertex and the maximum or minimum value of f(x).
f(x)=-5/7(x-7)^2+6
Algebra.Com
Question 813086: without graphing, find the vertex and the maximum or minimum value of f(x).
f(x)=-5/7(x-7)^2+6
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
f(x)= (-5/7)(x - 7)^2 + 6
f(x)= (-5/7)(x - 7)(x - 7) + 6
f(x)= (-5/7)(x^2 - 14x + 49) + 6
f(x)= (-5/7)x^2 + 10x - 35 + 6
f(x)= (-5/7)x^2 + 10x - 29
---
the above quadratic equation is in standard form, with a=-5/7=-0.7142857, b=10, and c=-29
---
to solve the quadratic equation, plug this:
-0.7142857 10 -29
into this: https://sooeet.com/math/quadratic-equation-solver.php
---
Answer 1:
the vertex of the quadratic equation is a maximum point at: ( 7.00000014, 6.0000007 )
---
Answer 2:
the maximum value of f(x) is: 6.0000007
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Convert fractions, decimals, and percents:
https://sooeet.com/math/fraction-decimal-percent.php
---
Calculate and graph the linear regression of any data set:
https://sooeet.com/math/linear-regression.php
RELATED QUESTIONS
Without graphing, find the vertex and the maximum and minimum value of f(x)
f(x)=... (answered by KMST)
without graphing, find the vertex and the maximium or minimum value of f(x)
f(x) = -3/7 (answered by tommyt3rd)
Find the vertex, the line of symmetry, and the maximum or minimum value of f(x).... (answered by likaaka)
Without graphing, find the vertex.
f(x) = (x + 3)2 + 3
Without graphing, find the... (answered by htmentor)
Determine, without graphing, whether the given quadratic function has a maximum value or... (answered by ikleyn)
Find the vertex, the line of symetry, and the maximum/minimum value of f(x). Graphe the... (answered by htmentor)
How do I find the vertex and the maximum or minimum value of f(x)
f(x)= -2/7 (x-8)^2 +... (answered by josgarithmetic)
Find the vertex, the line of symmetry, and the maximum or minimum value of F(x). Graph... (answered by ewatrrr)
Determine, without graphing, whether the given quadratic function has a maximum value or... (answered by ikleyn,solver91311)