How to calculate y=6x^2+1

Hi there!

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⇒ Graph :

∴ Rewrite the equation in vertex form.

⇒

∴ Use the vertex form, , to determine the values of and

∴ Since the value of is positive, the parabola opens up.

⇵

∴ Find the vertex .

∴ Find , the distance from the vertex to the focus.

∴ Find the focus.

∴ Find the axis of symmetry by finding the line that passes through the vertex and the focus.

∴ Find the directrix.

∴ Use the properties of the parabola to analyze and graph the parabola.

Direction: Opens Up

⇒ Vertex:

⇒ Focus:

⇒ Axis of Symmetry:

⇒ Directrix:

∴ Select a few values, and plug them into the equation to find the corresponding  values. The values should be selected around the vertex.

Hope this helped you!

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)