Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Mathematics

Grade10

Easy

Question

The quadratic function h(x) = - x² + 6x + 18 has its axis of symmetry as ________.

y = 1
y = 0
x = 0
x = 3

The correct answer is: x = 3

-x² +6x +18 =0
comparing with general equation : ax² +bx +c =0
a =-1 ; b=6 ; c=18
axis of symmetry will pass through the vertex.
The x coordinate of the vertex = $fraction numerator negative b over denominator 2 a end fraction equals fraction numerator negative 6 over denominator 2 left parenthesis negative 1 right parenthesis end fraction equals fraction numerator negative 6 over denominator negative 2 end fraction equals 3$
x=3 is the axis of symmetry

Related Questions to study

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.