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MaRussiya [10]
3 years ago
14

What is the equation of the axis of symmetry of this parabola? y=-5(x+4)^2+3

Mathematics
1 answer:
Ede4ka [16]3 years ago
4 0

Answer:

x=-4

Step-by-step explanation:

Given the equation of parabola

y=-5(x+4)^2+3

This is the vertex form of the parabola equation. Hence, the vertex of the parabola is at point (-4,3)

This parabole goes downwards in y-direction (the leading coefficient -5 is negative)

<u>The axis of symmetry</u> of parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.

Thus, the equation of the axis of symmetry is

x=-4

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