Answer:c. Y=(x-3)^2-2
Step-by-step explanation: y=(x-3)^2-2
Y=x^2-6x+7
Answer:
6x-6-6-5x+2 = x - 10
Step-by-step explanation:
Simply each expression
6x-6-6-5x+2
= x - 10
Answer:
![\textbf{Option C}\\](https://tex.z-dn.net/?f=%5Ctextbf%7BOption%20C%7D%5C%5C)
Step-by-step explanation:
![\textup{You have to substitute values of x from the table and see if it satisfies the given condition.}\\\textup{For example in option A, $(-2,-2)$ is the point given.}\\\textup{Substitute $x = -2 $ in $y = -x^2 + 3x $}\\\textup{We get $y = -10 \ne -2$. Eliminate option $A$ and $B$ from this.}\\](https://tex.z-dn.net/?f=%5Ctextup%7BYou%20have%20to%20substitute%20values%20of%20x%20from%20the%20table%20and%20see%20if%20it%20satisfies%20the%20given%20condition.%7D%5C%5C%5Ctextup%7BFor%20example%20in%20option%20A%2C%20%24%28-2%2C-2%29%24%20is%20the%20point%20given.%7D%5C%5C%5Ctextup%7BSubstitute%20%24x%20%3D%20-2%20%24%20in%20%24y%20%3D%20-x%5E2%20%2B%203x%20%24%7D%5C%5C%5Ctextup%7BWe%20get%20%24y%20%3D%20-10%20%5Cne%20-2%24.%20Eliminate%20option%20%24A%24%20and%20%24B%24%20from%20this.%7D%5C%5C)
![\textup{Now we will check for $x = 1$ as the values of $y$ differ in options $C$ and $D$.}\\$i.e., $ \textup{For} $x = 1, y = - {1}^2 + 3(1) $\\$\implies y = 2 \ne 4$, \textup{eliminating Option $D$.}\\\textup{Also substitute other values for $x = -1, 0, 2$ and the answer can be verified.}\\\textup{\textbf{Hence, option $C$ will fit this function.}}](https://tex.z-dn.net/?f=%5Ctextup%7BNow%20we%20will%20check%20for%20%24x%20%3D%201%24%20as%20the%20values%20of%20%24y%24%20differ%20in%20options%20%24C%24%20and%20%24D%24.%7D%5C%5C%24i.e.%2C%20%24%20%5Ctextup%7BFor%7D%20%24x%20%3D%201%2C%20y%20%3D%20-%20%7B1%7D%5E2%20%2B%203%281%29%20%24%5C%5C%24%5Cimplies%20y%20%3D%202%20%5Cne%204%24%2C%20%5Ctextup%7Beliminating%20Option%20%24D%24.%7D%5C%5C%5Ctextup%7BAlso%20substitute%20other%20values%20for%20%24x%20%3D%20-1%2C%200%2C%202%24%20and%20the%20answer%20can%20be%20verified.%7D%5C%5C%5Ctextup%7B%5Ctextbf%7BHence%2C%20option%20%24C%24%20will%20fit%20this%20function.%7D%7D)
Answer:
Commutative Property
Step-by-step explanation:
Sorry if I'm wrong!
Step-by-step explanation:
The equation of line A:
y-1=0, 5x-3
y=0, 5x-2. Hence its gradient is 0,5
For line B, its you intercept is -8, so y=mx-8.
When x = -4, y=-4m -8 =0 as shown in the graph. This means that m = -2.
Since |-2| > |0, 5|, line B is steeper than line A.