The function h(x)=12x^8+49 is an even function. Which transformation of h(x) would result in a function that is neither even nor odd? A) reflection over the x-axis
B) vertical stretch by a factor of 7
C) translation 8 units to the right
D) horizontal compression

Explanation of the correct answer would be nice so that I understand it better.

The correct option is;

C) Translation 8 units to the right

Step-by-step explanation:

The function h(x) = 12·x⁸ + 49 is an even function

However a translation 8 units to the right would yield the following function;

h(x) = 12 × (x+ 8)⁸ + 49 = 12x⁸ + 768x⁷ + 21504x⁶ + 344064x⁵ + 3440640x⁴ + 22020096x³ + 88080384x² + 201326592x + 201326641

For h(1) = 516560701

Also h(-x) = 12 × (-x+ 8)⁸ + 49 = 12x⁸ - 768x⁷ + 21504x⁶ - 344064x⁵ + 3440640x⁴ - 22020096x³ + 88080384x² - 201326592x + 201326641

For h(-1) = 69177661

Therefore h(x) ≠ h(-x) after the translation 8 units to the right and the function is neither even nor odd.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

whatvare the choices

step-by-step explanation: