**Answer:**

k is the vertical shift

**Step-by-step explanation:**

y=a(x-h)^2+k

This gives the parabola in vertex form

(h,k) is the vertex where h is the x coordinate and k is the y coordinate

k is the vertical shift

**Answer:**

c=1 and c=3

**Step-by-step explanation:**

If x>0 and y>0, then

\sqrt{\dfrac{50x^6y^3}{9x^8}}=\sqrt{\dfrac{25\cdot 2y^2\cdot y}{9x^2}}=\dfrac{5y\sqrt{2y}}{3x}.

9x

8

50x

6

y

3

=

9x

2

25⋅2y

2

⋅y

=

3x

5y

2y

.

If

\dfrac{5y\sqrt{2y}}{3x}

3x

5y

2y

is equal to

\dfrac{5y^c\sqrt{2y}}{dx},

dx

5y

c

2y

,

then

\begin{gathered}y=y^c\Rightarrow c=1,\\ \\3x=dx\Rightarrow d=3.\end{gathered}

y=y

c

⇒c=1,

3x=dx⇒d=3.

Answer:y=-5x-2

Step-by-step explanation:

This will have a negative slope since the line goes from left to right. Use rise over run to find the slope of -5 and look at the y axis where it intersects to get -2

Have a great day!

**Answer:**

0 solution

**Step-by-step explanation:**

**Given**

**Required**

Find number of solutions;

The number of solutions can be determined via the value of determinants, D;

Such that

By comparing the general form of equation;

with

**This gives**

**So;**

becomes

The calculated value of D is less than 0;

This implies that has no real solution