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PIT_PIT [208]
3 years ago
6

What are the vertex and x-intercepts of the graph of the function given below?

Mathematics
1 answer:
olchik [2.2K]3 years ago
6 0
The correct question is
<span>What are the vertex and x-intercepts of the graph of the function given below?
y = x</span>²<span>-2x-35

step 1
convert the equation in the vertex form
y+35=x</span>²-2x
y+35=(x²-2x+1-1)
y+35+1=(x²-2x+1)
y+36=(x-1)²------> equation in the vertex form

the vertex is the point (1,-36)

the answer Part a) is
the vertex is the point (1,-36)

Part b) Find the x-intercepts
we know that
the x-intercepts is when y=0
so
y+36=(x-1)²
for y=0
(x-1)²=36
(+/-)(x-1)=√36-------> (+/-)(x-1)=6
(+)(x-1)=6------> x=6+1-----> x=7
(-)(x-1)=6-----> x=1-6-----> x=-5

the x-intercepts are the points
(7,0)  and (-5,0)

the answer part b) is 
the x-intercepts are the points (7,0)  and (-5,0)

the total answer is the option 
<span>A. Vertex: (1, -36); x-intercepts: (7, 0) and (-5, 0)</span>
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