Which statement about the graph is true?
2 answers:
<h2>Answer:</h2>
The statement that is true about the graph is:
The graph does not show a proportional relationship because each point written as ratio gives a different value.
<h2>Step-by-step explanation:</h2>A graph is said to have a proportional relationship if it is a straight line passing through the origin.
i.e. a variable must be a constant multiple of the other variable.
i.e. y=kx
From the given graph we have a straight line that passes through (0,2) and (2,3)
Hence, the equation of line is:
Hence, the graph does not show a proportional relationship as the equation of the graph is not of the form y=kx
This means that
for some constant k.
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Answer:
see explanation
Step-by-step explanation:
the equation of parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier.
here (h, k ) = (3, 1 ) , then
y = a(x - 3)² + 1
to find a substitute any other point on the graph into the equation.
using (0, 7 )
7 = a(0 - 3)² + 1 ( subtract 1 from both sides )
6 = a(- 3)² = 9a ( divide both sides by 9 )
=
= a
y = (x - 3)² + 1 ← in vertex form
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the equation of a parabola in factored form is
y = a(x - a)(x - b)
where a, b are the zeros and a is a multiplier
here zeros are - 1 and 3 , the factors are
(x - (- 1) ) and (x - 3), that is (x + 1) and (x - 3)
y = a(x + 1)(x - 3)
to find a substitute any other point that lies on the graph into the equation.
using (0, - 3 )
- 3 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )
1 = a
y = (x + 1)(x - 3) ← in factored form