Write a quadratic function in vertex form that represents the given transformation and parent function f(x)=x^2. Vertical compression of 1/3 reflection across the X axis translation left eight units

Step-by-step explanation:

The given parent function is

We want to write a quadratic function in vertex form that is a result of transforming f(x) by a vertical compression of ⅓, reflection across the x-axis , and a translation 8 units left.

Let g(x) be the transformed function, then we have;

The negative indicate a reflection in the x-axis, +8 indicates a shift to the left, and ⅓ is the vertical compression factor.

third option: 6x+8

step-by-step explanation:

we can see that the given question is a sum of series and the values of n vary from 0 to 3

the first term will be:

when n=0, [(0)*x+2] => (0+2) => 2

when n=1, [(1)*x+2] => (x+2) => x+2

when n=2, [(2)*x+2] => 2x+2

when n=4, [(3)*x+2] => 3x+2

so adding up all the terms will give us:

=2+x+2+2x+2+3x+2

=x+2x+3x+2+2+2+2

=6x+8

so,

third option is the correct answer ..

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step-by-step explanation: