What is the equation of this graph?
3 4
8
-2
h
-4
-5
-6
2
-7
y = -x² + 3
a.
b. y=-3x²
C.
d.
y = -(x + 3)²
y = -(x - 3)²
ludes
des a translation of 3 units to the left?

Respuesta :

Answer:

Step-by-step explanation:

the equation of the graph, which includes a translation of 3 units to the left, is:

d. y = -(x - 3)²

The equation of a quadratic function in vertex form is y = a(x - h)² + k, where (h, k) represents the vertex of the parabola.

In this case, the vertex of the parabola is (3, 0) since it has been translated 3 units to the left. The negative sign indicates that the parabola opens downward.

By substituting the vertex coordinates into the vertex form, we get:

y = -(x - 3)²

This equation represents a parabola with its vertex at (3, 0) and opens downward.

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