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mathematical equation
The linear parent function is y=x. The line on a graph passes through the origin(0,0) with a slope of 1. The line will face left to right on the graph like this /.
m = - 6, of course. Read it right off the function.
to solve on a graphing calculator, go to MATH button. then press the right key once, so that you've highlighted NUM. pick choice number 1, which is abs(. plug in the equation so that it'll look like this abs(2X-4) and press enter and there yougo! To do this by hand, use the formula f(x)=|gx| A piecewise function should look as follows: f(x)={(gx) if g>0 -(gx) if g<0
The graph of that function looks like a big letter ' V '. The point of the 'V' is at the origin,the left half has slope = -3, and the right half has slope = 3.
mathematical equation
The linear parent function is y=x. The line on a graph passes through the origin(0,0) with a slope of 1. The line will face left to right on the graph like this /.
tan (0) = opposite/adjacent
sin(0) = opposite/hypotenuse
An equation where the left is the function of the right. f(x)=x+3 is function notation. The answer is a function of what x is. f(g(x))= the answer the inside function substituted in the outside function.
m = - 6, of course. Read it right off the function.
It means you should rearrange the equation so that x is on one side of the equal sign, and everything else on the other, with no "x" on the right side of the equation. For instance, if I was told to express x as a function of y and given the equation: x-4y=6 I would express x as a function of y by rearranging the equation to read: x = 6+4y
individual freedom is a absolute right
individual freedom is a absolute right
to solve on a graphing calculator, go to MATH button. then press the right key once, so that you've highlighted NUM. pick choice number 1, which is abs(. plug in the equation so that it'll look like this abs(2X-4) and press enter and there yougo! To do this by hand, use the formula f(x)=|gx| A piecewise function should look as follows: f(x)={(gx) if g>0 -(gx) if g<0
Make sure the child div's are just float's (no position absolute stuff). Add an empty div to the parent underneath all the child's with style="clear: both;"
OK, so let's call the parent function you're given f(x). There's a series of transformations a parent function can go through:-f(x) = makes the parent function reflect over the x-axisOn the other hand, f(-x) = makes it reflect over the y-axisf(x+a) = makes the parent function shift a units to the leftf(x-a) = makes the parent function shift a units to the rightf(x)+a = makes the parent function shift a units upf(x)-a = makes the parent function shift a units downf(ax) if x is a fraction like 1/2 , makes the parent function stretch by a factor of 2 (or multiply each x by 2)f(ax) if x is a whole number (or fractions greater or equal to 1) like 2, makes the parent function compress by a factor of 2 (or divide each x by 2)a*f(x) if x is a fraction like 1/2, makes the parent function get shorter by a factor of 2 (or divide each y by 2)a*f(x) if x is a whole number (or fractions greater or equal to 1) like 2, makes the parent function get taller by a factor of 2 (or multiply each y by 2)One way you can always tell what to do is that everything that is INSIDE the parentheses will be the OPPOSITE of what you think it should do. OUTSIDE the parentheses will do EXACTLY what you think it should do.And when performing the transformations, start inside the parentheses first and then move outside. For example, f(x-2)+2; move the parent function first to the right 2 units and THEN move it up 2 units.