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3 years ago

Describe how the graph of y= x2 can be transformed to the graph of the given equation. y = x2 + 8

Mathematics

1 answer:

ANEK [815]3 years ago

3 0

When you add 8 to the end of a function formula, the graph moves UP 8 units. This is often called either a translation or vertical shift.

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In ΔOPQ, o = 58 cm, q = 13 cm and ∠Q=52°. Find all possible values of ∠O, to the nearest degree.

PSYCHO15rus [73]

Answer:

There is no possible triangles

Step-by-step explanation:

\frac{\sin A}{a}=\frac{\sin B}{b}

sinA

sinB

From the reference sheet (reciprocal version).

\frac{\sin O}{58}=\frac{\sin 52}{13}

sinO

sin52

Plug in values.

\sin O=\frac{58\sin 52}{13}\approx 3.5157403

sinO=

58sin52

≈3.5157403O=\sin^{-1}(3.5157403)= \text{ERROR}

O=sin

−1

(3.5157403)=ERROR

Sine cannot be greater than 1.

{No Possible Triangles}

No Possible Triangles

{}

7 0

3 years ago

What is 50,779 divided by 590? Attach work pretty plz

nignag [31]

50,779/590 is 90.7125 but rounded to 90.71

6 0

3 years ago

Amy has to write a paper for school that has more than 2,878 words. She has already written 1,037 words and writes at a rate

densk [106]

Answer:

Step-by-step explanation:

263x = words per day

add on 1,037 because she already wrote them

263x + 1,037 > 2,878

7 0

3 years ago

Joanna joins a CD club. She pays $7 per month plus $10 for each CD that she orders. Write an inequality to find how many CDs she

Effectus [21]

Lets use x as the number of CD's that she will buy in a month. So knowing that, our inequality can look like this. 7 + 10x < or = 100. Why? because we will have to multiply 10 with the number of CDs she will purchase in a month to get the total she spends. Hence 10 times x. She also has to add a 7 membership fee per month to this. Also, she has to remember that what she paid has to be less or equal to 100 because the problem states that she spends no more than 100 a month.

6 0

3 years ago

explain the benefits of each of the three forms of quadratic equations, standard form, vertex form, and factored form. What do t

mamaluj [8]

Answer:

Summary:

Standard form allow us to quickly find the y-intercept.

Vertex form allow us to quickly locate the vertex.

And factored form allows us to quickly determine the roots/zeros.

Step-by-step explanation:

The three forms of quadratics are the standard form, vertex form, and the factored form. Each of them reveals a specific part about the quadratic.

Standard Form:

The standard form of a quadratic is:

$ax^2+bx+c$

There are only two details that can be conveyed by a quadratic in standard form immediately: (1) the leading coefficient a, and (2) the y-intercept.

The leading coefficient a will tell us if the parabola curves upwards or downwards.

And the constant c will give us the y-intercept.

Vertex Form:

The vertex form of a quadratic is:

$a(x-h)^2+k$

There are also two details that can be conveyed by a quadratic in vertex form: (1) the vertex, and (2) the leading coefficient.

The leading coefficient is given by a. Again, this tells us the orientation of the parabola.

And the vertex is given by (h, k).

Hence, in my opinion, vertex form is the best form of a quadratic since it immediately reveals the vertex, the most important aspect of a quadratic.

Factored Form:

The factored form of a quadratic is:

$a(x-p)(x-q)$

Where p and q are the zeros/roots/solutions of the quadratic.

Again, factored form gives us two details about the quadratic: (1) the leading coefficient, and (2) the zeros.

The zeros tells us when the parabola crosses the x-axis, which can assist in graphing.

Summary:

Therefore, each form of a quadratic equation has its own benefits.

Standard form allow us to find the y-intercept.

Vertex form allow us to quickly locate the vertex.

And factored form allows us to quickly determine the roots/zeros.

Hence, depending on the question, each form can be useful in its own way.

4 0

3 years ago