Answer:
104:2=52
3*52=156
1) 156/3
2)364/7
7*52=364
Answer:
Let's talk through this a one step at a time.
*Since f(x) is concave-up with its vertex on the x-axis, we know f(x) ≥ 0.
*We also know that when we shift a function's domain by a positive number, we shift the function left and when we shift a function's domain by a negative number, we shift the function right. So f(x-5) is f(x) shifted to the right by 5.
*At this point, f(x-5) has its vertex at (5,0).
*When we negate f(x-5), the parabola becomes concave down yet the vertex remains at (5,0). Now we're at -f(x-5). At this point we have -f(x-5)≤0 with a range (-∞,0]
*If we add 2 to create g(x)=2-f(x-5), then we have a concave down parabola with its vertex shifted up by 2, at (5,2). So, g(x) is concave down with its vertex at (5,2). Hence
Answer:
Can you write in English?
Answer:
Option b is the correct answer
Step-by-step explanation:
The graph in the picture is the graph of a quadratic equation and it takes the shape of a parabola.
The points on the x axis through which the parabola cuts across is used to determine the solution of the quadratic equation.
Looking at the parabola formed from the plotted points, it cuts the x axis at
x = -1 and x= -2
These are the factors of the equation. To get the equation, we multiply the factors.
x= -1, x +1 = 0
x =-2 , x + 2= 0
The equation is (x+1)(x+2)
Expanding the brackets,
x×x + x×2 +1×x + 1×2
= x^2 + 2x + x +2
= x^2 + 3x +2 = 0
Option b is the correct answer
Answer:
X' = (2, -3)
Y' = (7, -9)
Z' = (10, -2)
Step-by-step explanation:
to find the translation of each point substitute the x and y with the the numbers
eg; X ( -5,2) the x is 5 and the y is 2
so -5 + 7 = 2 (the x value)
2 - 5 = -3 ( the y value)
