Describe how the graph of y= x2 can be transformed to the graph of the given equation. y = (x + 14)^2 (5 points)

Shift the graph of y = x2 down 14 units.
Shift the graph of y = x2 right 14 units.
Shift the graph of y = x2 left 14 units.
Shift the graph of y = x2 up 14 units.

Step-by-step explanation:

For y = x², y = 0 when x = 0.

For y = (x + 14)², y = 0 when x = -14.

Notice that the zero of the function has went from 0 to -14, or 14 units to the left.

The answer is "Shift the graph of y = x² left 14 units.".

We conclude that the graph y = x² can be transformed into the graph of the given equation y = (x + 14)² by shifting the graph of y = x² left 14 units.

Step-by-step explanation:

Please check the attached graph.

If we carefully analyze the given graph which is attached below, it is clear that the given graph y = (x + 14)² is the transformed image of form f(x+b) of parent graph y = x².

In this graph, the function y = x² has been moved over 14 units to the left.

In other words,

f(x+2) = f(x+14)² means the function f(x) is shifted 14 units to the left.

Therefore, the graph y = x² can be transformed into the graph of the given equation y = (x + 14)² by shifting the graph of y = x² left 14 units.

a: 1/6, j: 1/4

step-by-step explanation: you are welcome

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: