How does the graph of g(x) = −(x + 3)4 compare to the parent function of f(x) = x4?

g(x) is shifted 3 units to the left and reflected over the x-axis.

Step-by-step explanation:

Given the Parent function:

And the other

Since the g(x) function is multiplied by -(1) and added to 3 units, then the curve is translated 3 units left and reflected over the x-axis, as the graph below shows.

The negative parameter "a" reflects over the x-axis. And the independent parameters, being added to the parent one translate the curve.

g(x) is shifted 3 units to the left and reflected over the x-axis.

Step-by-step explanation:

Given the Parent function:

And the other

Since the g(x) function is multiplied by -(1) and added to 3 units, then the curve is translated 3 units left and reflected over the x-axis, as the graph below shows.

The negative parameter "a" reflects over the x-axis. And the independent parameters, being added to the parent one translate the curve.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1