Which of the following graphs is described by the function given below? y=x^2-6x-7
1 answer:
Answer:
Step-by-step explanation:
If we have to find the graph described by a function then we should try to convert the equation into vertex form first.
Here given equation of the parabola is y = x² - 6x - 7
Then we will convert this equation into the vertex form.
y = x² - 2×(3x) + 9 - 16
y = (x - 3)² - 16
So the vertex of the given parabola is (3, -16).
Now we have understood that parent function y = x² have been shifted 3 units right and 16 units down.
Therefore, the given translated parabola will be in the shape of attached figure.
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Answer:
of the cake
Step-by-step explanation:
add and
to see the total amount of cake eaten.
a. find the common denominator: 8 x 3 = 24 and 6 x 4 = 24
b. multiply accordingly to get the correct numerator: +
c. add: +
=
subtract found value from total to find left over cake.
a. 24 - 7 = 14
simplify.
a. =
You are left with of the cake.
Answer:
81 meters.
Step-by-step explanation:
The height (in meters), h(x) of a hovercraft x seconds after takeoff, is modeled by:
We are to determine its height at the time of takeoff.
Now, at the time of takeoff, x=0.
We substitute x=0 to solve for h.
The height of the hovercraft at takeoff is 81 meters.