Question
Graph the function. How is the graph a translation of f(x) = x2?
y = (x –1)2 + 3
(1 point)
Responses
graphThe function has a minimum at the point left-parenthesis 1 comma negative 3 right-parenthesis and passes through the points left-parenthesis 0 comma negative 2 right-parenthesis and left-parenthesis 2 comma negative 2 right-parenthesis.
f(x)
translated down 3 unit(s) and translated to the right 1 unit(s)
Image with alt text: graph The function has a minimum at the point left-parenthesis 1 comma negative 3 right-parenthesis and passes through the points left-parenthesis 0 comma negative 2 right-parenthesis and left-parenthesis 2 comma negative 2 right-parenthesis. f(x) translated down 3 unit(s) and translated to the right 1 unit(s)
graphThe function has a minimum at the point left-parenthesis negative 1 comma 3 right-parenthesis and passes through the points left-parenthesis negative 2 comma 4 right-parenthesis and left-parenthesis 0 comma 4 right-parenthesis.
f(x)
translated down 3 unit(s) and translated to the left 1 unit(s)
Image with alt text: graph The function has a minimum at the point left-parenthesis negative 1 comma 3 right-parenthesis and passes through the points left-parenthesis negative 2 comma 4 right-parenthesis and left-parenthesis 0 comma 4 right-parenthesis. f(x) translated down 3 unit(s) and translated to the left 1 unit(s)
graphThe function has a minimum at the point left-parenthesis negative 1 comma negative 3 right-parenthesis and passes through the points left-parenthesis negative 3 comma 1 right-parenthesis and left-parenthesis 1 comma 1 right-parenthesis.
f(x)
translated up 3 unit(s) and translated to the left 1 unit(s)
Image with alt text: graph The function has a minimum at the point left-parenthesis negative 1 comma negative 3 right-parenthesis and passes through the points left-parenthesis negative 3 comma 1 right-parenthesis and left-parenthesis 1 comma 1 right-parenthesis. f(x) translated up 3 unit(s) and translated to the left 1 unit(s)
graphThe function has a minimum at the point left-parenthesis 1 comma 3 right-parenthesis and passes through the points left-parenthesis 0 comma 4 right-parenthesis and left-parenthesis 2 comma 4 right-parenthesis.
f(x)
translated up 3 unit(s) and translated to the right 1 unit(s)
Image with alt text: graph The function has a minimum at the point left-parenthesis 1 comma 3 right-parenthesis and passes through the points left-parenthesis 0 comma 4 right-parenthesis and left-parenthesis 2 comma 4 right-parenthesis. f(x) translated up 3 unit(s) and translated to the right 1 unit(s)
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1 answer
Image with alt text: graph The function has a minimum at the point left-parenthesis 1 comma negative 3 right-parenthesis and passes through the points left-parenthesis 0 comma negative 2 right-parenthesis and left-parenthesis 2 comma negative 2 right-parenthesis. f(x) translated down 3 unit(s) and translated to the right 1 unit(s)