Y=x^2+bx+c;(-2,3)
1 answer:
You might be interested in
Answer:
a) (-5,0) and (1,0)
b) (0,-5)
c) minimum
See attached graph.
Step-by-step explanation:
To graph the function, find the vertex of the function find (-b/2a, f(-b/2a)). Substitute b = 4 and a = 1.
-4/2(1) = -4/2 = -2
f(-2) = (-2)^2 + 4(-2) - 5 = 4 - 8 - 5 = -4 - 5 = -9
Plot the point (-2,-9). Then two points two points on either side like x = -1 and x = -3. Substitute x = -1 and x = -3
f(-1) = (-1)^2 + 4 (-1) - 5 = 1 - 4 - 5 = -8
Plot the point (-1,-8).
f(-3) = (-3)^2 + 4(-3) - 5 = 9 - 12 - 5 = -8
Plot the point (-3,-8).
See the attached graph.
The features of the graph are:
a) (-5,0) and (1,0)
b) (0,-5)
c) minimum
Answer:
B) 25
Step-by-step explanation:
Given exponential function:
The growth factor between and
is 25.
To find the growth factor between and
Solution:
The growth factor of an exponential function in the interval and
is given by :
We can check this by plugging in the given points.
The growth factor between and
would be calculated as:
Plugging in values.
(On canceling the common terms)
(Using quotient property of exponents
)
∴
Similarly the growth factor between and
would be:
Plugging in values.
(On canceling the common terms)
(Using quotient property of exponents
)
∴
Thus, the growth factor remains the same which is =25.