hangobw6h

2023-03-26

Which steps transform the graph of $y={x}^{2}$ to $y=-2{(x-2)}^{2}+2$?

Wilhalm3qdn

Beginner2023-03-27Added 8 answers

The transformation $g\left(x\right)$ of a polynomial function $f\left(x\right)$ takes the form:

$g\left(x\right)=af\left[k(x-d)\right]+c$

$a$ is the factor of vertical stretch or compression. If $a$ is negative, then the transformed graph is reflected over the $y$-axis.

$\frac{1}{k}$ is the factor of horizontal stretch or compression. If $k$ is negative, then the transformed graph is reflected over the $x$-axis.

$d$ is the horizontal translation.

$c$ is the vertical translation.

When looking at a transformation, the steps are applied moving from the left side of the equation to the right.

In $y=-2{(x-2)}^{2}+2$:

$a=-2$. The graph is reflected over the $y$-axis and stretched vertically by a factor of 2.

$d$ = 2. The graph is translated two units to the right.

$c$ = 2. The graph is translated two units upwards.

$g\left(x\right)=af\left[k(x-d)\right]+c$

$a$ is the factor of vertical stretch or compression. If $a$ is negative, then the transformed graph is reflected over the $y$-axis.

$\frac{1}{k}$ is the factor of horizontal stretch or compression. If $k$ is negative, then the transformed graph is reflected over the $x$-axis.

$d$ is the horizontal translation.

$c$ is the vertical translation.

When looking at a transformation, the steps are applied moving from the left side of the equation to the right.

In $y=-2{(x-2)}^{2}+2$:

$a=-2$. The graph is reflected over the $y$-axis and stretched vertically by a factor of 2.

$d$ = 2. The graph is translated two units to the right.

$c$ = 2. The graph is translated two units upwards.

Find the volume V of the described solid S

A cap of a sphere with radius r and height h.

V=??

Whether each of these functions is a bijection from R to R.

a) $f(x)=-3x+4$

b) $f\left(x\right)=-3{x}^{2}+7$

c) $f(x)=\frac{x+1}{x+2}$

?

$d)f\left(x\right)={x}^{5}+1$In how many different orders can five runners finish a race if no ties are allowed???

State which of the following are linear functions?

a.$f(x)=3$

b.$g(x)=5-2x$

c.$h\left(x\right)=\frac{2}{x}+3$

d.$t(x)=5(x-2)$ Three ounces of cinnamon costs $2.40. If there are 16 ounces in 1 pound, how much does cinnamon cost per pound?

A square is also a

A)Rhombus;

B)Parallelogram;

C)Kite;

D)none of theseWhat is the order of the numbers from least to greatest.

$A=1.5\times {10}^{3}$,

$B=1.4\times {10}^{-1}$,

$C=2\times {10}^{3}$,

$D=1.4\times {10}^{-2}$Write the numerical value of $1.75\times {10}^{-3}$

Solve for y. 2y - 3 = 9

A)5;

B)4;

C)6;

D)3How to graph $y=\frac{1}{2}x-1$?

How to graph $y=2x+1$ using a table?

simplify $\sqrt{257}$

How to find the vertex of the parabola by completing the square ${x}^{2}-6x+8=y$?

There are 60 minutes in an hour. How many minutes are there in a day (24 hours)?

Write 18 thousand in scientific notation.