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1 answer:
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Answer:
Option C is correct.
Step-by-step explanation:
The given function f(x) is:
f(x) = x^2 + 22x + 58
To find the vertex find and add and subtract it from both sides of the given function
b= 22, a= 1
Putting values:
Adding (11)^2 on both sides
f(x) = x^2 + 22x + 58 +(11)^2 -(11)^2
f(x) = x^2+22x+(11)^2 +58-(11)^2
a^2 +2ab+b^2 = (a+b)^2 Using this formula:
f(x)=(x+11)^2+58-121
f(x)=(x+11)^2-63
The vertex of the given function is (-11,-63)
The function is translated 4 units to right and 16 units up
The vertex of new function will be:
(x+4,y+16) => (-11+4,-63+16)
=> (-7,-47)
So, the vertex of new function is (-7,-47)
The function will be
(x+7)^2 -47
So, Option C is correct.
Given equation is y=4.
Question says to graph the given equation y=4 then use the graph to find the missing x- or y-coordinates for the function to the nearest hundredth.
Equation y=4 has no "x" so that means line y=4 will be a horizontal line which passes through 4 on y-axis.
Since it is parallel to x-axis so that means there is no x-intercept.
y-intercept is (0,4) as the line crosses at 4 on y-axis.
