Answered

What is the axis of symmetry for the function? y = x2 + 3x - 4



y = -2


x = -2


x = -1.5


y = -1.5




What is the vertex for the function? y = x2 - 4x - 3



(-1, 2)


(0, -3)


(1, -6)


(2, -7)




The vertex of y = 9 - 8x - x2 is (-4, 25)


False

True

Verified Answer :

nobillionaireNobley

Axis of symmetry is a line passing through the vertex which divides the curge into two parts such tha each part looks the same.
For \(y= x^{2} +3x-4\), the 'x' part is squared and the coefficient of \(x^{2}\) is positive. Hence, the curve will be a parabola facing up which means that the axis of symmetry will be a vertical line. i.e. x = m.
Investigating, f(-1) =\(= (-1)^{2} +3(-1)-4=1-3-4=-6\)
f(-1.5) = \(= (-1.5)^{2} +3(-1.5)-4=2.25-4.5-4=-6.25\)
f(-2) = \(= (-2)^{2} +3(-2)-4=4-6-4=-6\)
From these, the curve has a vertex at point (-1.5, -6)
Therefore the axis of symmetry is line x = -1.5 (i.e. the third option)

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