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Vinvika [58]
3 years ago
7

If you shift the quadratic parent function, f(x) = x2, left 12 units, what is the equation of the new function? A.g(x) = (x + 12

)2 B.g(x) = (x – 12)2 C.g(x) = x2 – 12 D.g(x) = x2 + 12
Mathematics
1 answer:
timama [110]3 years ago
7 0

Answer:  The correct option is (A). g(x)=(x+12)^2.

Step-by-step explanation:  Given that the equation of the quadratic parent function is

f(x)=x^2~~~~~~~~~~~~~~~~~~~~~~~~``(i)

We are to find the equation of the new function after shifting the parent function (i) 12 units left.

Since we are shifting 12 units left, so there is a horizontal translation in the X-axis.

And the x co-ordinate becomes (x+12).

Therefore, the equation of the new function will be

g(x)=(x+12)^2.

Thus, the required equation of the new function is g(x)=(x+12)^2.

Option (A) is correct.

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1) 0.494

2) 0. 49

3) 0.5

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To eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before ad
vovikov84 [41]

Answer:

use -9 to multiply the first equation

use -4 to multiply the second equation.

Step-by-step explanation:

5x-4y=28.....eqn (1)×-9

3x-9y=30....eqn(2)×-4

-45x+36y=-252

-(-12x+36y=-120)

therefore, -33x÷33 =-132÷-33

x=4.

substitute (x=4) in any of the equation. I'm just going to use eqn 1.

5x-4y=28

5(4)-4y=28

20-4y=28

-4y =28-20

-4y÷-4 = 8÷-4

y=-2

so, x=4, y=-2

Note: for proof of answers substitute the answers for x and y and see if you have the same result...e.g

5(4)-4(-2)=28.

6 0
3 years ago
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1. If A = {a, b, c, d}, B={c, d, e, f}, C={x, y, z} find (A-B)​
vitfil [10]

Answer

here

A={a,b,c,d}

B={c,d,e,f}

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A-B={e,f}

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2 years ago
X-y=3 in slope intercept form and find x and y intercepts​
Dominik [7]

Answer:

x intercept is x=3

y intercept is y=-3

Step-by-step explanation:

We can write this equation in a simpler way to find the values needed. Lets do it. Take:

x-y=3

And sum y in both sides, as we know the equality will maintain:

x-y+y=3+y

x = 3+ y

Now subtract 3 in both sides:

x-3 = y+3-3

x-3=y

So, we can rewrite our equation as y=x-3

The x intercept is a value of x such that the equation in equal to zero; in other words, is the value of x when y is zero. It is also called a zero root. Graphically, its the x value when the function passes trough the x-axis. Lets find if, we nned that:

x-3 = 0

If we sum 3 in both sides:

x-3+3=3

x=3

So, x=3 is x intercept

For finding the y intercept we need the value of y when x is zero. Graphically, is the value of y obtained when the function passes trough the y-axis. So, replace x with 0:

0-3=y

y=-3

Another way to get it is knowing that the y intercept in a polynomial is always the independent term, the one that has no x or y, which in this case is -3.

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Answer: 8 hours

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Step-by-step explanation:

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