What is the range of the following function?
1 answer:
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Answer:
f(x)=(x−3)2−5
Find the properties of the given parabola.
Direction:
Vertex: (3,−5)
Focus: (3,−194)
Axis of Symmetry: x=3
Directrix: y=−214
Select a few x
values, and plug them into the equation to find the corresponding y values. The x
values should be selected around the vertex.
x y
1 -1
2 -4
3 -5
4 -4
5 -1
Graph the parabola using its properties and the selected points.
Direction:
Vertex: (3,−5)
Focus: (3,−194)
Axis of Symmetry: x=3
Directrix: y=−214
x y
1 -1
2 -4
3 -5
4 -4
5 -1
we are given
parent function as
Suppose, we are given a function y=f(x) is compressed horizontally by ''b'' units
where b>1
so, we can write as
new function as
Here, it is compressed by factor 6
so, we can replace x as 6x
and we get
so, option-A.........Answer