Answer:
to graph this, you will need to plot points on the graph
the x-axis as stated in the instructions will be the distance in miles
the y-axis will be the time in minutes
for every 1 mile Gloria bikes, it takes her 5 minutes
so that gives us our first point on the graph (1,5)
what about 2 miles? we would double the amount of minutes spent and that would take Gloria 10 minutes to bike 2 miles
that is another point on our graph (2,10)
same goes for the rest of the points, 3 miles would be equal to 15 minutes etc.
I have attached a graph that should be similar to what you can come up with, I put the y-axis (minutes) in intervals of 5, and the x-axis from 1-5
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (3, 1), hence
y = a(x - 3)² + 1
To find a substitute (- 2, - 4) into the equation
- 4 = a(- 2 - 3)² + 1
- 4 = 25a + 1 ( subtract 1 from both sides )
25a = - 5 ( divide both sides by 25 )
a = - = -
y = - (x - 3)² + 1 ← in vertex form