The graph shows the increase of the temperature over time in an oven what is the change in the y value and x value on the graph
2 answers:
Let
x-------> the time in minutes
y-------> the temperature in Fahrenheit degrees
we know that
<u>the change in the y-values between two points is equal to</u>
Substitute the y-values of the point A and B in the formula
<u>the change in the x-values between two points is equal to</u>
Substitute the x-values of the point A and B in the formula
therefore
<u>the answer is</u>
The change in the y-value is and the change in the x-value is
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We know that
the equation of the vertical parabola in the vertex form is
<span>y=a(x-h)²+k
</span>where
(h,k) is the vertex of the parabola
if a> 0 then
the parabola opens upwards
if a< 0
then the parabola open downwards
in this problem we have
f(x)=−5(x+7)²<span>+6
</span>a=-5
so
a< 0 -------> the parabola open downwards
the vertex is the point (-7,6) is a maximum
the answer is the option
<span>a = -5, opens down</span>
see the attached figure
the equation of the vertical parabola in the vertex form is
<span>y=a(x-h)²+k
</span>where
(h,k) is the vertex of the parabola
if a> 0 then
the parabola opens upwards
if a< 0
then the parabola open downwards
in this problem we have
f(x)=−5(x+7)²<span>+6
</span>a=-5
so
a< 0 -------> the parabola open downwards
the vertex is the point (-7,6) is a maximum
the answer is the option
<span>a = -5, opens down</span>
see the attached figure