SOLUTION: Describe the transformations that must be applied to the graph of y= x^2 to obtain the transformed
function y= 5(x-4)^2+3. Use mathematical terminology such as reflection, stretch
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Question 1190017: Describe the transformations that must be applied to the graph of y= x^2 to obtain the transformed
function y= 5(x-4)^2+3. Use mathematical terminology such as reflection, stretch, compress, and translate.
Found 2 solutions by Boreal, greenestamps:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
translate 4 units to the right, compress it 5 fold, and translate the whole graph up 3 units. The lowest point will be at the vertex, the point of which is (-h, k) or (4, 3)
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
The order of transformations is the order in which you would evaluate y for a given value of x, using PEMDAS order of operations.
Parent function:
(1) parentheses: (x-4)^2: --> translation 4 to the right
(2) multiplication: 5(x-4)^2: --> vertical stretch by a factor of 5
(3) addition: 5(x-4)^2+3: --> vertical translation up 3
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