Find the x-intercept of the parabola with vertex (-3,16 and y-intercept (0,-20

Mathematics

1 answer:

Vera_Pavlovna [14]2 years ago

6 0

Does it tell you which formula to use bc it would help me out alot

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The graph of f(x) = x^2 has been shifted into the form f(x) = (x − h)^2 + k

stepan [7]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\
% left side templates
\begin{array}{llll}
f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\end{array}\\\\
--------------------\\\\$

$\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\
\left. \qquad \right. \textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\
\left. \qquad \right. \textit{reflection over the y-axis}$

$\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }{{ D}}\\
\left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\
\left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}$

with that template in mind, let's see, it went to the right 2 units, and then up 3 units.

that simply means, C = -2, D = 3.

8 0

2 years ago

Jovan has $14,000 in a savings account. The savings collect interest at a 7% annual rate that compounds every year. How much mon

wel

Answer:

sorry 98928

Step-by-step explanation:

8 0

1 year ago

The slope of a line is 1, and the y-intercept is -1. What is the equation of the line written in slope-intercept form?

Scilla [17]

The slope-intercept form is:
y = mx + b
where m = slope, and b = y-intercept.
You need a slope of 1, so m = 1.
You need a y-intercept of -1, so b = -1.
Replace m with 1 and b with -1 in the slope intercept form to get

y = 1x + (-1)

which simplifies to

y = x - 1

3 0

2 years ago

2.3,2 4/5, 2.6 from least to greatest

Alex777 [14]

Hello there!

Least to greatest of these problem

For the fractions you can simplify it make it easier for you to solve these types of problems

Anyhow!

Let's find our answer, shall we?

$2.3 = 2.3 \\ \\ 2\frac{4}{5} = \frac{14}{5} = 2.8 \\ \\ 2.6 = 2.6$

Our answer: $2.3 \\ 2.6 \\ 2\frac{4}{5}$

4 0

2 years ago

-8, 1, 10...<br> n<br> What is a formula for the ninth term of the given sequence

krek1111 [17]

9514 1404 393

Answer:

a9 = -8 +9(9 -1)

Step-by-step explanation:

The given sequence has a common difference of 1-(-8) = 10-1 = 9, and a first term of -8. The formula for the n-th term of such an arithmetic sequence is ...

an = a1 +d(n -1) . . . . . first term a1, common difference d

For the parameter of this sequence, a1=-8 and d=9, the n-th term is ...

an = -8 +9(n -1) . . . . formula for the n-th term

Then the formula for the 9th term is ...

a9 = -8 +9(9 -1)

6 0

2 years ago