Sanjay begins to correctly graph the function f(x) = (x + 1)2 – 3. Based on the axis of symmetry and the vertex, which graph could be Sanjay’s? On a coordinate plane, a vertical dashed line at (1, 0) is parallel to the y-axis. A solid circle appears on the dashed line at (1, negative 3). On a coordinate plane, a vertical dashed line at (negative 3, 0) is parallel to the y-axis. A solid circle appears on the dashed line at (negative 3, 1). On a coordinate plane, a vertical dashed line at (negative 1, 0) is parallel to the y-axis. A solid circle appears on the dashed line at (negative 1, negative 3). On a coordinate plane, a vertical dashed line at (3, 0) is parallel to the y-axis. A solid circle appears on the dashed line at (3, negative 1).

Respuesta :

Answer:

On a coordinate plane, a vertical dashed line at (negative 1, 0) is parallel to the y-axis. A solid circle appears on the dashed line at (negative 1, negative 3).

Step-by-step explanation:

In y = a(x - h)² + k

Line of symmetry is:

x = h

So x = -1 for this quadratic

Vertex is:

(h,k)

So (-1,-3) for this quadratic

On a coordinate plane, a vertical dashed line at (negative 1, 0) is parallel to the y-axis. A solid circle appears on the dashed line at (negative 1, negative 3) , Option C is the right answer.

What is a Parabola ?

A parabola is what can be represented by y = a(x - h)² + k .

It is given that

f(x) = (x + 1)² – 3

In y = a(x - h)² + k

The vertex is ( -1 ,-3)

Line of symmetry is given by x = h

x = -1

Therefore , a vertical dashed line at (negative 1, 0) is parallel to the y-axis. A solid circle appears on the dashed line at (negative 1, negative 3) is the correct answer , Option C

To know more about Parabola

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