Find the standard form of equation of the parabola and the vertex at the origin focus -2,0

We're do I find a rate of change

SVEN [57.7K]

You can find the rate of change by taking it's derivative.

6 0

3 years ago

Read 2 more answers

If PQRS is a rhombus,which statement must be true? Check all that apply.

Oxana [17]

Answer: A, B, C, D

Step-by-step explanation:

A. This is true because all rhombi are parallelograms, and diagonals of a parallelogram bisect each other.

B. This is true because the diagonals of a rhombus are perpendicular.

C. This is true because diagonals of a rhombus bisect the angles from which they are drawn,

D. This is true because all sides of a rhombus are congfruent.

E. This is not always true - all rhombi are parallelograms, and adjacent angles of a parallelogram are supplementary, but not always congruent.

F. This is not always true - diagonals of a rhombus are not always congruent.

8 0

2 years ago

Given the function, f (x) = sq3x+3+3, choose the correct transformation.

iren2701 [21]

Answer:

B.

Step-by-step explanation:

First, let's start from the parent function. The parent function is:

$f(x)=\sqrt{x}$

The possible transformations are so:

$f(x)=a\sqrt{bx-c} +d$ ,

where a is the vertical stretch, b is the horizontal stretch, c is the horizontal shift and d is the vertical shift.

From the given equation, we can see that a=1 (so no change), b=3, c=-3 (negative 3), and d=3.

Thus, this is a horizontal stretch by a factor of 3, a shift of 3 to the left (because it's negative), and a vertical shift of 3 upwards (because it's positive).

7 0

3 years ago

What is the equation of a line that is perpendicular to this line and goes through the

-Dominant- [34]

Answer:

x + 3y + 9 = 0

Step-by-step explanation:

y=3x + 2

Coefficient of x = 3

Gradient (m) of line y= 3x + 2 is 3

Since the line passing through point

(3,-4) is perpendicular to line y=3x + 2

hence gradient (m) of the line is -1/3;

And hence it equation is given as;

y - y1 = m(x - x1)

y - (-4) = -1/3(x - 3)

multiplying through by 3;

3 × y + 3 × 4 = 3 × -1/3(x - 3)

3y + 12 = -1(x - 3)

3y + 12 = -x + 3

x + 3y + 12 - 3 = 0

x + 3y + 9 = 0

5 0

3 years ago

A seamstress uses 3/4 yards of material to make a uniform top for band members. If there are 6 3/4 yards of material left on the

dalvyx [7]

Answer:

She can make 9 uniform tops from the material left.

Step-by-step explanation:

Given:

Yards of material left on the bolt = $6\frac{3}{4}$

Material requirement for a uniform top for band members = $\frac{3}{4}\ yd$

To find the number of tops that can be made from the material left.

Solution:

In order to find the number of tops that can be made from $6\frac{3}{4}$ yards of material, we need to divide $6\frac{3}{4}\ yd$ by $\frac{3}{4}\ yd$ .