Answer:
A) (-5, -34)
Step-by-step explanation:
f(x) = x^2 + 10x - 9
We complete the square to get the equation in vertex form
Take the coefficient of the x term and divide by 2 then square it. We add it and then subtract it not to change the value of the equation
f(x) = x^2 + 10x +(10/2)^2 - (10/2)^2 - 9
f(x) = x^2 +10x +25 -25 -9
f(x) = (x^2 +10x +25) -34
The term in parentheses simplified to (x+10/2) ^2
= (x+5)^2 -34
= (x - -5)^2 -34
This is in the form (x-h)^2 +k
The vertex is (h,k) h=-5 and k=-34
(-5,-34)
Answer:
the bottom left one (the graph that looks like a circle) is not a function, but the other ones are.
Step-by-step explanation:
A function is defined so that for every x value within a function has a y value. This means that an x value CANNOT have more than one y value. The bottom right one has two y values for almost every x value within the domain. The top ones are functions, because all x values have only 1 y value (a discontinuous function is still a function!) And the bottom right is too.
Inverse function: you need to exchange the position of x and y, in other words,
x = (5-2y^2)/(3y+10) , then, if you need a representation of y with respect to x, then you need to perform some math.
Answer:
All of them
Step-by-step explanation:
A y-intercept is the point where a line or curve crosses the y-axis of a graph. Example: (0, 7) (0, 6)
X>-1/3, the graph would be filled everything to the right of -1/3 on the x axis