Given the function f(x)= -6x^2-12x-7, is the point (-1,-1) on the graph of f?

Question

Well I know that the answer to this is yes because our teacher gave us the answer but how do u get the answer???? Im so slost and I have to know this for my final exam. Its the exam that will basically pass or fail me! lol Please help!

And thats -6x squared for the people that didnt understand!

THANK U SOOOOO MUCH CREE!!! lol :)

Answer 1

To find out you would plug -1 into your x and then the answer you get is ur f(x) which is also your Y. If you get -1 for Y then yes the point is on the graph.

Answer 2

The easiest way to determine it is to evaluate it. Given the function f(x) that you have selected, if you put -1 (the x value) in for every value of x, does the answer come out to be -1 (the y, or f(x) value)?

If so, the point is on the graph. If not, the point is not on the graph.

So, -6 * (-1)^2 - 12 * (-1) - 7 = -6 + 12 - 7 = -1, therefore the point is on the graph.

Answer 3

f(x) is the same thing as y here. So, substittute -1 (the value of x) into the equation and calculate the value of f(x). The answer will involve a square root. If one possible square root is -1, then it is on the line. Otherwise, it is not.

It might help you to substitute other values for x, say, 0, 1, 2, 3, -2, -3, etc. and draw a graph so you can see the solution.

Answer 4

The tangent line is going with the help of (a million,7) and (-2,-2) lets call the line y = mx + c, and replace in those elementary values 7 = m*a million + c -2 = m* (-2) + c Subtract 2d eqn from first 9 = 3m m=3 So the slope of the tangent is 3. answer C)

Answer 5

plug in -1 for x and see if -1 is the y value (f(x))

-1 ?=? -6(-1)^2-12(-1)-7
-1 ?=? -6+12-7
-1 = -1

yay! (:

Answer 6

(-1,-1) is a point in the graph of f(x). in fact, it is the vertex. check it out yourself.

Answer 7

You should do your own howework, Im not sure about the answer

Justin