All categories

2 years ago

What is the equation of the axis of symmetry for the parabola

Mathematics

2 answers:

Alina [70]2 years ago

7 0

Answer:

x=3

Step-by-step explanation:

Let's expand,shall we

y=½(x²-6x+9)+5

y=½x²-3x+4.5+5

y=½x²-3x+9.5

The equation is given by x=-b/2a

x=-(-3)/2•½

x=3/1=3

ozzi2 years ago

6 0

Answer:

x=3

Step-by-step explanation:

axis of symmetry always pass through X coordinate of vertex.

here vertex is (h,k)= (3,5)

so x coordinate is 3.

so the equation of the axis of the symmetry is X=3

You might be interested in

HELP ME PLEASE!!! I AM GIVING BRAINLIEST TO WHO CAN SOLVE IT CORRECT

yaroslaw [1]

Answer:

x^2 +4x+4 = 4

Step-by-step explanation:

To complete the square take the coefficient of the x term

Divide by 2

4/2 =2

Square it

2^2 =4

Add it to both sides of the equation

x^2 +4x+4 = 4

7 0

3 years ago

Will give any wanted points!! help quick!!

gayaneshka [121]

Here , the ratio UV:VW and UT:TS will be in proportion , so ;

${:\implies \quad \sf \dfrac{UV}{VW}=\dfrac{UT}{TS}}$

Putting the given values ;

${:\implies \quad \sf \dfrac{18}{36}=\dfrac{UT}{24}}$

${:\implies \quad \sf UT=\dfrac{1}{2}\times 24}$

${:\implies \quad \bf \therefore \quad \underline{\underline{UT=12 \:\: units}}}$

4 0

2 years ago

Integrate x+1/sqrt(x). I know that the answer is 2/3 • sqrt(x) • (x+3) + C, but I don't know how it is simplified from 2/3 • x^3

Andreas93 [3]

$\displaystyle\int\frac{x+1}{\sqrt x}\,\mathrm dx=\int\frac x{x^{1/2}}+\frac1{x^{1/2}}\,\mathrm dx$

$=\displaystyle\int x^{1/2}+x^{-1/2}\,\mathrm dx$

By the power rule,

$=\dfrac{x^{3/2}}{\frac32}+\dfrac{x^{1/2}}{\frac12}+C$

(this seems to be the step you're not getting?)

$=\dfrac23x^{3/2}+2x^{1/2}+C$

The next step is to pull out a common factor of $x^{1/2}$ from the antiderivative:

$x^{3/2}=x^{1/2+1}=x^{1/2}\cdot x^1$

so that the final result is

$\dfrac23x^{3/2}+2x^{1/2}+C=\dfrac23x^{1/2}(x+3)+C$

3 0

3 years ago

I Need Help Fast Please

lbvjy [14]

C. 130,90,130.

#01234, the tenths number stays the same
#56789, the tenths number go up 1 number

4 0

3 years ago

But how is is it 1 hour and 45 minutes(someone please respond this is due tomorrow)I need work

astraxan [27]

Because it is every hour there's 60min so that's and hour the the next 45 min are different

4 0

3 years ago

What is the equation of the axis of symmetry for the parabola​

What is the equation of the axis of symmetry for the parabola