Quadratic graphs:

y = x2 + 4x + 1

I need to work out the coordinates.
Help.

Basically what you have to do to draw the graph is creating a bunch of points that are part of the equation

to do so, you assign different values to x and find the corresponding y

for example

x=0 0^2 +4*0 +1 = 1 therefore  y = 1

x=1 1^2+4*1 +1 = 6 therefore y= 6

and so on

x=-1 y=-2

and as many as you need

this is valid...only if I have understood your question :-)

Step-by-step explanation:

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: