Answer:
1) vertical expansion by a factor of 6, reflection over the x-axis, translation left 4 units, translation down 7 units.
2) all terms are of even degree: f(-x) = f(x)
Step-by-step explanation:
1) The leading minus sign means the function has been reflected over the x-axis. The leading coefficient of magnitude 6 is the vertical expansion factor. The 4 added to x is the number of units of left translation. The 7 subtracted from the previous expression is the number of units of translation downward.
The transformations are ...
__
2) A function f(x) is even if it satisfies f(-x) = f(x). Since all x-terms in the given function are of even degree, we know this will be true:
f(-x) = 8(-x)^4 -3(-x)^2 +3 = 8x^4 -3x^2 +3 = f(x)
f(x) is even because f(-x) = f(x) indicating it is symmetrical about x=0.