Answered

Join the IDNLearn.com community and get your questions answered by knowledgeable individuals. Explore thousands of verified answers from experts and find the solutions you need, no matter the topic.

What is the equation of the axis of symmetry for this function? H(x) = -X2 + 10x - 11 x = -5 0 x= -10 x = 5 x = 10

Sagot :

Given:

The equation of a quadratic function is:

[tex]H(x)=-x^2+10x-11[/tex]

To find:

The equation of the axis of symmetry for the given function.

Solution:

If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex], then the equation of the axis of symmetry is:

[tex]x=-\dfrac{b}{2a}[/tex]        ...(i)

We have,

[tex]H(x)=-x^2+10x-11[/tex]

Here, [tex]a=-1,b=10,c=-11[/tex]. So, the equation of axis of symmetry by using (i), is

[tex]x=-\dfrac{10}{2(-1)}[/tex]

[tex]x=-\dfrac{10}{-2}[/tex]

[tex]x=5[/tex]

Therefore, the correct option is C.

We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is your go-to source for dependable answers. Thank you for visiting, and we hope to assist you again.