Question

How does the graph of the function f(x) = 2x4− 3 differ from the graph of its parent function? Select all the transformations.

◻A.The graphs are the same.
◻B.Subtracting 3 translates the graph down 3 units.
◻C.The leading coefficient, 2, stretches the graph vertically.
◻D.Subtracting 3 translates the graph up 3 units.
◻E.Subtracting 3 translates the graph right 3 units.

Answer 1

B and C are the correct options

Explanation:

The parent function here will be ;

f(x) = x^4

Multiplying x^4 by 2 means that we are having a vertical stretching

What this means is that the leading coefficient 2 stretches the graph vertically by 2 units

Subtracting -3 means that we are translating the graph down by a value of 3 units

So the correct options are;

B and C