Given the quadratic function f(x)=2x^{2}-10x+6 a. Find the minimum or maximum value

Weltideepq

Weltideepq

Answered question

2021-12-06

Given the quadratic function
f(x)=2x210x+6
a. Find the minimum or maximum value of f.
b. Find the equation of the axis of symmetry.

Answer & Explanation

Befoodly

Befoodly

Beginner2021-12-07Added 17 answers

Step 1
Solution: f(x)=2x210x+6; equation of parabola y=ax2+bx+c
Line of Symmetry
x=b2a=(10)2×2=2.5
x=2.5
Step 2
So, at x=2.5
f(x)=2×(2.5)210×(2.5)+6
f(x)=6.5
a>0 that in 2>0, So, at x=2.5 minimum exist
f=6.5

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