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Answer: C
<u>Step-by-step explanation:</u>
Let x represent the first term (a₁)
a₁ = x
a₂ = x(-√2) = -x√2
a₃ = -x√2(-√2) = 2x
a₄ = 2x(-√2) = -2x√2
a₅ = -2x√2(-√2) = 4x
Since it is given the a₅ = √2, then we can solve: 4x =√2
Divide both sides by 4 to get: x =
this can also be written as:
With the information given, we deduce that the parabola is
Reflecting a function over the x axis means to change its sign. After the reflection, the parabola becomes
And to shift down a function, you subtract the shift from the equation: the equation becomes
Similarly, the other function is reflected over the x axis (sign change) and shifted up 3 (add 3 to the equation):
In order to compute the y intercept, we simply have to evaluate the functions at x=0: for the parabola we have
For the other function, we have