Identify the maximum or minimum value and the domain and range of the graph of the function y = 2(x – 3)2 – 4.

Question

(1 point)
Responses

minimum value: –4
domain: all real numbers
range: all real numbers greater than equal to–4

minimum value: –4 domain: all real numbers range: all real numbers Image with alt text: greater than equal to –4

maximum value: 4
domain: all real numbers
range: all real numbers A symbol less than or equal to4

maximum value: 4 domain: all real numbers range: all real numbers Image with alt text: A symbol less than or equal to 4

maximum value: –4
domain: all real numbers A symbol less than or equal to–4
range: all real numbers

maximum value: –4 domain: all real numbers Image with alt text: A symbol less than or equal to –4 range: all real numbers

minimum value: 4
domain: all real numbers greater than equal to4
range: all real numbers

Answer 1

The correct response is:

maximum value: 4
domain: all real numbers
range: all real numbers greater than or equal to -4

Answer 2

Are you sure

Answer 3

Apologies for the confusion. Let's analyze the given function:

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

This is a quadratic function in the form y = a(x - h)^2 + k, where (h, k) represents the vertex of the parabola. In this case, the vertex has coordinates (3, -4).

Since the coefficient of the squared term (2) is positive, the parabola opens upwards, indicating that the vertex represents the minimum value of the function.

So, the correct response is:

Minimum value: -4
Domain: all real numbers
Range: all real numbers greater than or equal to -4