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3 years ago

WRITE THE EQUATION OF THE PARABOLA with a directrix of y=1 and a focus of (0,-1).

Mathematics

1 answer:

stepan [7]3 years ago

3 0

Answer:

-4y = x², or y = - x²/4, or y = -(1/4)x²

Step-by-step explanation:

Because the focus is beneath the directrix, this vertical parabola opens down. The general formula is 4py = x².

Because the distance between focus and directrix is 2 units, p = -1 here. The negative sign shows that the parabola opens down.

4py = x² becomes 4(-1)y = x², or -4y = x², or y = - x²/4

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Given y = 4x + 3, what effect does changing the equation to y = 4x - 3 have on the y-intercept?

Art [367]

Answer:

The y-intercept changes from (0, 3) to (0, -3)

Step-by-step explanation:

The y-intercept refers to the point where the graph of a function crosses or intersects with the y-axis. At this point, the value of x is usually 0.

Substitute x = 0 in both equations to determine how the y-intercept changes;

The original equation is given as y = 4x + 3,

when x = 0; y = 4(0) + 3 = 3

The y-intercept is thus (0, 3)

The new equation is given as y = 4x - 3

when x = 0; y = 4(0) - 3 = -3

The y-intercept is thus (0, -3)

Therefore, the y-intercept changes from (0, 3) to (0, -3)

3 0

4 years ago

Given a polynomial function f(x) = 2x2 – 3x + 5 and an exponential function g(x) = 2x - 5, what key features do f(x) and g(x) ha

Sunny_sXe [5.5K]

Both f(x) and g(x) have the same range of [0,-infinity).

<h3>What is a function?</h3>

A function is an expression that shows the relationship between two or more numbers and variables.

Plotting the functions f(x) = 2x² – 3x + 5 and g(x) = 2ˣ - 5:

Both f(x) and g(x) have the same range of [0,-infinity).

Find out more on function at: brainly.com/question/25638609

7 0

2 years ago

HELP PLEASE <br><br><br> Evaluate x-4/2 when x = –1.6.

djverab [1.8K]

X - 4/2 ; where x = -1.6

Substitute x by its value.

-1.6 - 4/2 *as you notice, one number is in decimal and the other is in fraction form. We need to convert one form to the other to make the numbers like numbers so that solving the equation will be easier and less confusing.

4/2 can easily be converted into decimal by dividing 4 by 2 which equals to 2.

So, -1.6 - 2 = ? The operation is a subtraction, but the other number is in negative form, if both numbers have the same sign, we add them up and the sign is carried over to the sum.

-1.6 -2 = -3.6 * we add 1.6 + 2 = 3.6, then we carry over its negative sign = -3.6

7 0

3 years ago

Read 2 more answers

A bag contains 9 marbles, of which 3 are red and 6 are blue. players 1 and 2 take turns drawing marbles from the bag without rep

7nadin3 [17]

Solution:

For the first marble chosen by the player1,

The probability that the marble is red is 3/9=1/3

After that the second player chose without replacement, there are 8 marbles left, of which 6 are blue. So the probability of the second one being red is 6/8 = 3/4.

Since the question is asking the probability of both events happening,

So we have to multiply the two probabilities.

So the answer is (1/3) * (3/4) = 1/4.

4 0

3 years ago

Can u show 4 divided 4 with a rectangle

Lady bird [3.3K]

I just showed you 5556666666

5 0

3 years ago