Answer:
The answer is option 1.
Step-by-step explanation:
Axis of symmetry means the middle x-coordinates of the parabola. So in order to find the x value, you have to find the TP which is Turning Point by using Completing the Square :
Let y = 0,
Next, you have to solve the x value :
x + 3 = 0
x = -3
we have that
using a graph tool
see the attached figure
statements
case a) The domain is {x|x ≤ –2}-------> Is False
the domain is all real numbers---------> the interval (-∞,∞)
case b) The range is {y|y ≤ 6}.------> Is True
The range is the interval (-∞,6]
case c) The function is increasing over the interval (–∞ , –2).-----> Is True
See the attached figure
case d)The function is decreasing over the interval (−4, ∞).-----> Is False
In the interval (-4,-2) the function is increasing and in the interval (-2,∞) the function is decreasing (See the attached figure)
case e)The function has a positive y-intercept.------> Is True
The value of y-intercept is
