To obtain the graph of y = x^2 - 6, shift the graph of y = x^2 up, left, right, or down, how many units? ?

6 units down

Step-by-step explanation:

The parent graph is

We need to find the transformation of the graph

f(x) -> f(x)+a , the graph will be moved 'a' units up

f(x) -> f(x)-a , the graph will be moved 'a' units down

f(x) -> f(x+a) , the graph will be moved 'a' units to the left

f(x) -> f(x-a) , the graph will be moved 'a' units to the right

Here -6 at the end. 6 is subtracted from x^2 . so the graph will be shifted 6 units down

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

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step-by-step explanation: