[Giving Brainleist] What is 4x+2?
2 answers:
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Well, notice, we can pretty much see the x-intercepts if we set f(x) = 0, clearly they're just 6 and -2,
now, this is a quadratic equation, since it only has 2 solutions at most, recall your fundamental theorem of algebra.
so, the vertex will be right in middle of those two x-intercepts.
what's between -2 and 6?, well is +2 or just 2, so x = 2.
so we know the x-coordinate for the vertex is the halfway point of 2, what's the y-coordinate?
f(x) = y = (2 - 6)(2 + 2)
y = ( - 4)( 4 )
y = -16
thus the vertex is at, well you already know.
now, this is a quadratic equation, since it only has 2 solutions at most, recall your fundamental theorem of algebra.
so, the vertex will be right in middle of those two x-intercepts.
what's between -2 and 6?, well is +2 or just 2, so x = 2.
so we know the x-coordinate for the vertex is the halfway point of 2, what's the y-coordinate?
f(x) = y = (2 - 6)(2 + 2)
y = ( - 4)( 4 )
y = -16
thus the vertex is at, well you already know.
Answer:
y = - x
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 24, y = - 6
- 6 = 24k ( divide both sides by 24 )
= k , that is
k = -
y = - x ← equation of variation