find the maximum y value on the graph of y=f(x)...f(x)=x^2+4x+10

Question

campbell_st · Answer

given the curve is concave down the maximum y values occur at (-infinity, infinity)

perhaps you have mistyped...

anonymous · Answer

sorry it's -x^2+4x+10

campbell_st · Answer

ok.... that makes nore sense

find the line of symmetry using 

$$x = \frac{-b}{2a}$$

then substitute it into the equation and evaluate. 


Another method is to complete the square and write your equation in vertex form

$$y = (x -h)^2 + k $$

for me the line of symmetry and substitution is easier.

campbell_st · Answer

the general for is 

y = ax^2 + bx + c

in your question a = -1 and b = 4

the formula is the 1st part of the general quadratic formula. 

hope it helps

anonymous · Answer

@campbell is the answer -14

anonymous · Answer

@campbell_st

campbell_st · Answer

isn't it 

-(2)^2 + 4(2) + 10 = 14