Question

Determine which situations best represent the scenario shown in the graph of the quadratic functions, y = x2 and y = x2 + 3. Select all that apply.

From x = -2 to x = 0, the average rate of change for both functions is negative
For the quadratic function, y = x2, the coordinate (2, 3) is a solution to the equation of the function.
The quadratic function, y = x2 + 3, has an x-intercept at the origin
The quadratic function, y = x2, has an x-intercept at the origin
From x = -2 to x = 0, the average rate of change for both functions is positive
For the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function.

Answer 1

A) D) F)

Explanation:

`y=x^2`

`y=x^2+3`

• true: From x = -2 to x = 0, the average rate of change for both functions is negative
• false: For the quadratic function,
  `y=x^2`, the coordinate (2, 3) is a solution to the equation of the function.
• false: The quadratic function,
  `y=x^2+3`, has an x-intercept at the origin
• true: The quadratic function,
  `y=x^2`, has an x-intercept at the origin
• false: From x = -2 to x = 0, the average rate of change for both functions is positive
• true: For the quadratic function,
  `y=x^2+3`, the coordinate (2, 7) is a solution to the equation of the function.