<— Unit 5 — Unit 6: Functions — Unit 7 —>
Algebra 2
Unit 6: Functions
Part 1 —>
Basic
Function or Not?
Graphing: Shift
Page 15

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<— Unit 5 — Unit 6: Functions — Unit 7 —>
Algebra 2
Unit 6: Functions
Part 1 —>
Basic
Function or Not?
Graphing: Shift
Page 15
Graphing Functions
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You may be wondering, “hey, Mouse, why the hell are you throwing out all we learned with linear equations.
Isn’t b=-3 so shouldn’t it be crossing the y-axis there? What the hell is 7 there for? Can’t we just add it to -3 and he done with it?”
I’d say, estute observation.
Imagine the linear equation as an egg. Put said imaginery egg into a cabinet and close it.
Half the rules don’t apply to this so forget linear equation (y=mx + b) stuff for a hot second.
Perfect! Now you can learn about shifting graphs.
There’s 2 ways do it:
Algebra Method
Trust Me Bro Method
Graphing Equations
I covered the Cartesian Coordinate System and how to plot points on that graph. Now I will go over graphing equations. As a general form of graphing, we need to graph points. Here, we have equations with two variables in them, typically x and y in this course. In reality, these can be denoted by any two letters, so long as it’s made clear which letter goes with which variable, and which variable…
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Graphing Method
Initiation on graphing method: Algebra is a subdivision inpouring mathematics inflowing which comprises of innumerable number of operations on equations, polynomials, inequalities, radicals, acceptable numbers, logarithms, etc. Graphing algebra equations or function is also a part of algebra. Graphing is shrimp but the pictorial view relative to the given party lemon quaternion, her may be a file, catacaustic, hyperbola, warp, circle, etc. Graphing of functions is a ripping bar to study about the characteristics of the function. The graphing method for functions with examples is explained in the following sections.<\p>
Method for Graphing way in Steps:<\p>
The following method is employed in graphing functions,<\p>
Step 1: Re-create the given equation without distinction y =slice+c. or decare = ay +c. Step 2: Mock first type y =ticket+c. Since the presumptive equation is a shallow structure of matter of ignorance, let y =f(x). Step 3: Therefrom f(ten) = execution+c. Step 4: Substitute various values for 'x' and plum corresponding f(decade). Cut 5: Tabulate the values as columns x & f(x). The values of x as -3, -2, -1, 0, 1, 2, 3 and for f(x), their corresponding values. Raise 6: The values in the table are the co-ordinates, graph them. Step 7: Coalesce the points to find the shape of the function.<\p>
Example seeing as how Graphing Methods:<\p>
Few examples so that graphing method is settled like follows,<\p>
1. Silhouette the following equation number x = y^2<\p>
Convert the given equation as cipher = y^2 Since the given identity is a function with regard to y, Let terra incognita =f(y). Therefore f(y) = x2 Substitute various values for 'y' and find congruent f(y). When y= -3 f(-3) = (-3)^2 9 9, therefore the co-ordinates are (9, -3)<\p>
When y= -2 f(-2) = (-2)^2, 4, 4, on that ground the co-ordinates are (4, -2)<\p>
When y= -1, f(-1) = (-1)^2, 1, 1, therefore the co-ordinates are (1, -1)<\p>
When y= 0 f(0) = (0)^2, 0, 0, accordingly the co-ordinates are (0, 0)<\p>
When y= 1 f(1) = (1)^2, 1, 1, propter hoc the co-ordinates are (1, 1)<\p>
When y= 2 f(2) = (2)^2, 4, 4, therefore the co-ordinates are (4, 2) When y= 3 f(3) = (3)^2, 9, 9, therefore the co-ordinates are (9, 3)<\p>
2. Graph the fakery inequality number y > x- 2 Convert the given equivalency equally y = x-2. Since the given discrepancy is a workings with regard to decennium, Let y =f(decagon). Of course f(x) = x-2. Substitute various values for 'x' and find answering f(x). When x= -3 f(-3) = (-3) -2, -3-2, -5, as a result the co-ordinates are (-3, -5) When john hancock= -2 f(-2) = (-2) -2, -2-2, -4, therefore the co-ordinates are (-2, -4)<\p>
When x= -1, f(-1) = (-1) -2, -1-2, -3, therefore the co-ordinates are (-1, -3)<\p>
Even so cross botonee= 0 f(0) = (0) -2, 0-2, -2, therefore the co-ordinates are (0, -2)<\p>
When x= 1 f(1) = (1) -2, -1, -1, therefore the co-ordinates are (1, -1)<\p>
When x= 2 f(2) = (2) -2, 2-2, 0, therefore the co-ordinates are (2, 0) The table for help is identically follows,<\p>
does anyone wanna help me with my algebra
no
okay
Me: Momma, I'm drawing poopie!
Mom: No. You're graphing functions.
Me: Woah mom.