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Sandra wrote p(x) = 30x + 5x2 in vertex form. Her work is below. 1. p(x) = 5x2 + 30x 2. p(x) = 5(x2 + 6x) 3. (six-halves) squared = 9; 4. p(x) = 5(x2 + 6x + 9) – 5(9) 5. p(x) = 5(x + 3)2 – 45 Describe Sandra’s function. What is the vertex of this function? Is it a maximum or a minimum? What is the axis of symmetry of this function?

Respuesta :

Answer: 1st question• (-3, -45)

2nd question• x= -3

Step-by-step explanation:

just did it on edge

MrRoyal

The vertex of the function p(x) = 30x^2 + 5x^2 is (-3,-45), and it is a minimum

The description of the function

The function is given as:

p(x) = 30x^2 + 5x^2

The description of the function is that the function is a quadratic function

The vertex

From the question, we have:

p(x) = 5(x + 3)^2 – 45

A quadratic function represented as: p(x) = a(x - h)^2 + h has the vertex (h,k)

This means that the vertex is (-3,-45), and it is a minimum because a is positive i.e. a = 5

The axis of symmetry

This is the x-coordinate of the vertex.

Hence, the axis of symmetry is x = -3

Read more about quadratic functions at:

https://brainly.com/question/18797214

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