5

Shift f(x) = x^2, 4 left, down 3 and stretch by 5 as a function and show the final form. You do not need to graph....

Question

Shift f(x) = x^2, 4 left, down 3 and stretch by 5 as a function and show the final form. You do not need to graph.

Shift f(x) = x^2, 4 left, down 3 and stretch by 5 as a function and show the final form. You do not need to graph.



Answers

A function $f$ is given, and the indicated transformations are applied to its graph (in the given order). Write an equation for the final transformed graph. $f(x)=x^{3} ;$ shift upward 5 units

The equation is f off X is equal to more dicks. We know that the more graph off more legs like this, they now let us see ve shoved this graph Two units to the left, Gordon, it's to the left. Means to units towards the negative exacts a side. So this will be more decks plus two explicit to more So that descend that is minus Tacoma zero minus two, comma zero. And the graph is like this. Now we also have to shift the graph downward by five minutes. So let a job XB more explosives to shift downward by five minutes. So minus life. Now the graph would be See me do it like this. This is minus stool. Comma five minus two comma minus Faith. This is zero comma minus five. The graph would be lake This like this Mark these points ones this point, we have not made the graph according to scale. If we write via place, five is more X place to when vie is equal to zero will get five is equal to mark explains to so five is equal to X Place to X is equal to three and five is equal to minus X minus two. Also exercise will do minus seven. So this point, this tree coma zero. This point is minus seven. Coma zero. This graph is the answer, and this is the final answer off equation.

We have to plot the graph of the function. F X is equal toe three minus X plus to raise to the part of full. We can rewrite this as equal to minus off explosive stories to the part of four plus three. Now we know that the general form is F X is equal to X rays to the part of four, which means the given function is a transformed function as compared to the original one. So therefore, the vortex is also shifted from the origin to the point minus two on three, which is two units to the left off X axis and three units on the positive I access. Now let's see how the transformed graph look like. So since the value off the multiplying factor is negative one, it is opening downwards. Also, the vortex lies at minus two. Tree on the graph is representing the transformed function. If affects is equal to three minus X plus two race to the part of four, with the points minus +32 on minus one to lying on the graph

We have to plot the graph off the function which has given us if if X is equal toe X plus two to the part of four minus three. Now we know that the general form has given us if if x is equal to X rays to the part of four, which means that the transformed form has its vortex at minus two and minus three, which is two units to the left on three units below the origin. So let's see. So the graph represents the transformed function. If affects is equal to X plus toe raise to the part of four minus three with the vortex at minus two minus three on the points minus three minus two. Andi minus one minus told lying on the graph.

We have our number 50 three in which we need to ride the for mullah according to the transformations so bad functional is general function F X equals X squared and we're into strips vertically by a factor to then shift downward by two units and shift si units to the right. So let us start first is stretch vertically by affected toe. It will be to excess square, then shift downward by two units so minus two and now shift three units to the right. So for sifting toy guns to the right, we should be writing do X minus 23 inches to the right, So X minus three whole square minus two. So this is our final GXE. Thank you so much.


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