Step-by-step explanation:
y = 16x²
you put the x values one after the other in place of x and do the calculations.
x = -4
y = 16×(-4)² = 16×16 = 256
x = -3
y = 16×(-3)² = 16×9 = 144
x = -2.5
y = 16×(-2.5)² = 16×6.25 = 100
x = -2
y = 16×(-2)² = 16×4 = 64
x = -1.5
y = 16×(-1.5)² = 16×2.25 = 36
x = -1
y = 16×(-1)² = 16×1 = 16
x = -0.5
y = 16×(-0.5)² = 16×0.25 = 4
x = 0
y = 16×0² = 16×0 = 0
x = 0.5
y = 16×0.5² = 16×0.25 = 4
x = 1
y = 16×1² = 16×1 = 16
and so on.
36, 64, 100, 144, 256
as you can see, the y values are the same for the positive and the negative values.
because squaring a negative number is the same as squaring the same positive number. that is, because (if you remember) squaring something means to multiply that something with itself. and minus multiplied by minus is plus, as plus multiplied by plus is plus.
and that creates the symmetry around the y-axis or x = 0. everything left of the y-axis is mirrored on the right side of the y-axis (and vice versa).
Answer:
Step-by-step explanation:
In order to utilize the graph, first you have to distinguish which graph accurately pertains to the two functions.
This can be done by rewriting the equations in the form y = mx + b which can be graphed with ease; where m is the slope and b is the y intercept.
-x^2 + y = 1
y = x^2 + 1
So this will be a basic y = x^2 parabola where the center intercepts on the y axis at (0, 1)
-x + y = 2
y = x +2
So this will be a basic y = x linear where the y intercept is on the y axis at (0, 2)
The choice which depicts these two graphs correctly is the first choice. The method to find the solutions to the system of equations by using the graph is by determining the x coordinate of the points where the two graphed equations intersect.
Answer:
15 x 1 + 5 x 3 = 30
Step-by-step explanation:
If you turn the x into a one then it multiplies 15 by one and then it remains at 15, then you multiply 5 and 3 so that's 15 and then 15 + 15 is 30.
