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1 answer:
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Answer:
The equation of the axis of symmetry is x =
The coordinates of the vertex are ( ,
) ⇒ 2nd answer
Step-by-step explanation:
The quadratic function y = ax² + bx + c is represented graphically by a parabola which has a minimum/maximum vertex (h , k), where
- h =
and k is value y at x = h
- The axis of symmetry of the parabola is a vertical line passes through the vertex point and its equation is x = h
- The minimum/maximum value of the function is (h , k)
∵ y = 4x² + 5x - 1
∵ The form of the quadratic function is y = ax² + bx + c
∴ a = 4 , b = 5 , c = -1
∵ The coordinates of the vertex points are (h , k)
∵ h =
∴ h =
- To find k substitute x in the function by
∵ k = 4 ( )² + 5(
) - 1
∴ k = 4 ( ) + (
) - 1
∴ k = -
- 1
∴ k =
∴ The coordinates of the vertex are ( ,
)
∵ The equation of the axis of symmetry is x = h
∵ h =
∴ The equation of the axis of symmetry is x =