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Write a quadratic function with zeros $0$ and $9$ . $\newline$ Write your answer using the variable $x$ and in standard form with a leading coefficient of $1$ . $\newline$ $f(x) =$ ______

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Write a quadratic function from its zeros

Full solution

Q. Write a quadratic function with zeros

0

and

9

.

\newline

Write your answer using the variable

x

and in standard form with a leading coefficient of

1

.

\newline

f(x) =

______

Zeroes of the function: Zeroes of the function: $0$ and $9$ . $\newline$ To find the factors, we use the fact that if $0$ is a zero, then $x$ is a factor, and if $9$ is a zero, then $(x - 9)$ is a factor.
Factored form: The quadratic function in factored form is $f(x) = x(x - 9)$ .
Expand factors: Now we'll expand the factors to get the standard form: $f(x) = x \times x - x \times 9$ .
Multiplying to get standard form: After multiplying, we get $f(x) = x^2 - 9x$ .

More problems from Write a quadratic function from its zeros

Question

Solve by completing the square.

\newline

m^2 - 10m - 29 = 0

\newline

Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

\newline

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Posted 8 months ago

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g(x)

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Question

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\newline

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\newline

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Question

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\newline

Write your answer using the variable

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f(x) = \_\_\_\_\_

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Posted 4 months ago

Question

g(x)

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8

f(x) = x^2

\newline

Write your answer in the form

a(x – h)^2 + k

a

h

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x

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Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant