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g100num [7]
3 years ago
11

The graph of y=x^2 was transformed to Y= -(x+3)^2 +5. Describe all transformations applied to the original function and determin

e by how many units if necessary
Mathematics
1 answer:
mina [271]3 years ago
3 0

Hey there!

1. The graph was flipped vertically and now opens downward.

We know this because there is a negative sign in front of the equation:

y= \boxed- (x+3)^2+5

2. The graph was moved 3 units to the left.

We know this because there is 3 added to x inside of the parenthesis. Remember, inside (parenthesis) is opposite and acts on x, outside (parenthesis) is same and acts on y.

y=-(x\boxed{+3})^2+5

3. The graph was moved 5 units up.

We know this because there is 5 added at the end of the equation. It acts on y because it is outside of the parenthesis.

y=-(x+3)^2\boxed{+5}

Hope this helps!

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1 year ago
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X2 + 8x + 19 = 0 What is the equivilent that results from completing the square?
IrinaVladis [17]

Answer:

(x+4)^2+3=0

Step-by-step explanation:

Hey there!

Standard form is what this equation is in

Standard form is this: ax^2+bx+c

So order to complete the square, you need to take the b term out of the equation, divide it by two, and then square it

In this case, the b term is 8

We need to divide 8 by 2 ---> 4

Then square 4 ---> 16

So now you should add 16 to both sides

x^2+8x+16+19=16

Now you can simplify the LHS

(x+4)^2 +19=16

Now you subtract 16 from both sides

(x+4)^2+3=0

So this is as far as you can go since you cannot take the square root of a negative number

5 0
2 years ago
150 grams of fertilizer is required for a land area of 6 square meters.
Dahasolnce [82]
If 150g of fertilizer can cover 6 sq m of land then, 25 g of fertilizer can cover 1 sq m of land;
a)
For 13 sq m of land we need 25g*13
325g
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3 years ago
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X^3 = 64
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8 0
3 years ago
Wendy had the choice of picking 3 different types of hamburgers, 2 chicken sandwiches, and 4 types of salads. What is the probab
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Answer:

The probability of not receiving a salad is 5/9

Step-by-step explanation:

There are  3 different types of hamburgers, 2 chicken sandwiches, and 4 types of salads.

Hence total number of choices are 2+3+4= 9

Since, we have 4 choices of salad, hence probability of receiving a salad is given by

P(E)=\frac{4}{9}

Hence, the probability of not receiving a salad is given by

1-P(E)\\\\=1-\frac{4}{9}\\\\=\frac{5}{9}

Therefore, the probability of not receiving a salad is 5/9

8 0
3 years ago
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