All categories

3 years ago

What is the standard form for the quadratic function?f(x) = (x – 3)2 + 5

Mathematics

1 answer:

Minchanka [31]3 years ago

7 0

Answer:

f(x) = x² - 6x + 14

Step-by-step explanation:

Standard form is ax² + bx + c = 0 or f(x) = ax² + bx + c

So we are going to expand the equation and combine like terms:

f(x) = (x - 3)² + 5

f(x) = x² - 3x - 3x + 9 + 5

f(x) = x² - 6x + 9 + 5

f(x) = x² - 6x + 14

You might be interested in

The following graph represents the hourly commission of a home appliance salesperson, y, based on the number of salespeople that

grandymaker [24]

We have been given graph of a downward opening parabola with vertex at point $(6.5,42.25)$ . We are asked to write equation of the parabola in standard form.

We know that equation of parabola in standard form is $f(x)=ax^2+bx+c$ .

We will write our equation in vertex form and then convert it into standard form.

Vertex for of parabola is $y=a(x-h)^2+k$ , where point (h,k) represents vertex of parabola and a represents leading coefficient.

Since our parabola is downward opening so leading coefficient will be negative.

Upon substituting coordinates of vertex and point (0,0) in vertex form, we will get:

$0=-a(0-6.5)^2+42.25$

$0=-a(42.25)+42.25$

$-42.25=-a(42.25)+42.25-42.25$

$-42.25=-42.25a$

$a=1$ Divide both sides by $-42.25$

So our equation in vertex form would be $f(x)=-(x-6.5)^2+42.25$ .

Let us convert it in standard from.

$f(x)=-(x^2-13x+42.25)+42.25$

$f(x)=-x^2+13x-42.25+42.25$

$f(x)=-x^2+13x$

Therefore, the equation of function is standard form would be $f(x)=-x^2+13x$ .

3 0

3 years ago

Fifty-six thousandths in decimal form and standard form

emmainna [20.7K]

Answer:

0.056

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Mía ha comprado un terreno en el emporio de Gamarra.

Naddika [18.5K]

Answer:

mkana

Step-by-step explanation:

3 0

3 years ago

Measure of Variability:

Vesna [10]

The mean absolute deviation shows the average distance number data is from each other. The bigger it is the farther the numbers are away from each other and vice versa.

7 0

2 years ago

15 counters in the whole set. How many are there in 2/3 of the set?

muminat

Look at this video: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-multiplying-fraction-whole-number-product

3 0

3 years ago

Read 2 more answers

What is the standard form for the quadratic function?f(x) = (x – 3)2 + 5​

What is the standard form for the quadratic function?f(x) = (x – 3)2 + 5