SOLUTION: Tell whether y=-3x^2+18x-20 has a minimum value or a maximum value?Then find the minimum or maximum value.
Algebra.Com
Question 567571: Tell whether y=-3x^2+18x-20 has a minimum value or a maximum value?Then find the minimum or maximum value.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Tell whether y=-3x^2+18x-20 has a minimum value or a maximum value?Then find the minimum or maximum value.
**
Second degree equations are parabolas.
Standard form of equation for a parabola which opens downwards: y=-A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex. A is a multiplier which affects the slope of the curve. The negative lead coefficient means the parabola opens downward and therefore, has a maximum value.
y=-3x^2+18x-20
complete the square
y=-3(x^2-6x+9)-20+27
y=-3(x-3)^2+7
..
given parabola has a maximum=7 at x=3
RELATED QUESTIONS
determine whether the given quadratic function has a minimum or maximum value. then find... (answered by MathLover1)
Determine whether the graph of y = x^2 − 6x + 3 has a maximum or minimum point,... (answered by stanbon)
Tell whether the quadratic function has a maximum value or minimum value. Then find the... (answered by stanbon)
Determine whether f(x)= -2x^2+12x+3 has a minimum or maximum value. Then find the minimum (answered by Fombitz)
Determine, without graphing, whether the given quadratic function has a maximum value or... (answered by MathLover1)
Determine, without graphing, whether the given quadratic function has a maximum value or... (answered by josgarithmetic,MathTherapy)
determine whether the given quadratic function has a minimum or maximum value. then find... (answered by solver91311)
determine whether the given quadratic function has a minimum or maximum value. then find... (answered by Boreal)
Determine, without graphing, whether the given quadratic function has a maximum value or... (answered by Edwin McCravy)