Answer:
The vertex of the quadratic equation is the point (4,2)
Step-by-step explanation:
we know that
The figure show a vertical parabola open downward
The vertex represent the maximum point of the graph
Looking at the graph
The maximum point of the graph is (4,2)
therefore
The vertex of the quadratic equation is the point (4,2)
see the attached figure to better understand the problem
Answer:
The temperature in 4 hours = -2 °F
Thus, option (D) is true.
Step-by-step explanation:
We know that the slope-intercept form of the line equation is
where m is the rate of change or slope and b is the y-intercept
Given that the current temperature outside = 10°F.
Thus, the y-intercept = b = 10°F
Given that as the day went on, It will fall at a constant rate of 3°F per hour.
Thus, the slope or rate of change = -3°F
(The rate of change or slope is -3 because the temperature is reducing)
Thus, the rate of change = slope = m = -3
Thus, substituting m = -3 and b = 10 in the equation
Now, substituting x = 4 to determine the temperature after 4 hours.
y = -3(4) + 10
y = -12 + 12
y = -2 °F
Therefore, the temperature in 4 hours = -2 °F
Thus, option (D) is true.