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anonymous
 one year ago
For the function f(x) = –(x + 1)2 + 4, identify the vertex, domain, and range.
anonymous
 one year ago
For the function f(x) = –(x + 1)2 + 4, identify the vertex, domain, and range.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do you mean \( \huge f(x) = (x1)^2 + 4) \)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0If you look at \( \huge f(x) = (x1)^2 + 4) \) you can tell where the vertex is located. \( \huge f(x) = (x1)^2 + 4) \) The 1 in \( (x1)^2 \) is the x and the + 4 is the y so the vertex is (1,4)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It also is telling the parabola to shift to the right by 1 and go up by four so where the 1 is located is known as the horizontal shift area and the 4 is in the vertical shift area.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0What do you think is the domain and range?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Is the domain all real numbers? And the range is y greater than or equal to 4?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm unsure as to whether the vertex is truly (1,4) or if it is (1,4). For reference, the function is f(x)=(x+1)^2 +4

triciaal
 one year ago
Best ResponseYou've already chosen the best response.2dw:1436741859005:dw

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.0I meant all real numbers that latex did not come out good

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes, triciaal with his equation a = 1

triciaal
 one year ago
Best ResponseYou've already chosen the best response.2dw:1436742029268:dw

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.0If f(x) is polynomial of degree n then domain is \[\mathbb{R} \]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Thanasi99 it is (1, 4)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you so much everyone! I do believe I had it now. Vertex= (1,4) Domain= All real numbers Y= less than or equal to 4

triciaal
 one year ago
Best ResponseYou've already chosen the best response.2range set of y values domain set of x values vertex maximum or minimum here you have a max at 4 when a is positive opens up when a is negative opens down

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.0The range you get from the min / max if parabola mainly looking at the y value of the vertex and considering the value of a positive or negative

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.0I meant the values of a parabola open up or down will tell pretty much about range

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So, considering the parabola maxes out at 4 on the yaxis, and continues infinitely downward, the value set for the range would be y (less than or equal to) 4?

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.0Max 4 means that is great most x can map to. So all values if y that are less than or equal to that are good

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.0Sorry for some English typos from my phone lol
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