Midterm Examination in Pre-Calculus ( October 29,2020)

In the equation

 $\left(y-k\right)^2=4p\left(x-h\right)$  , when p>0 the graph opens ________.

• upward

• downward

• sideward right

• sideward left

What is the value of "p" in the given

 $\left(y-3\right)^2=8\left(x+1\right)$  ?

• 8

• 4

• 2

• 1

Given the formula of circle ,

 $\left(x-h\right)^2+\left(y-k\right)^2=r^2$  , 
"r" represents _____.

• radius

• ratio

• real

• rational

It divides the parabola into two equal parts.

• Vertex

• Focus

• Directrix

• Axis of symmetry

In the equation

 $\left(y-k\right)^2=4p\left(x-h\right)$  , when p<0 the graph opens _______.

• upward

• downward

• sideward right

• sideward left

What do you call the distance between focus and vertex?

• P

• Directrix

• Parabola

• Axis of symmetry

It is the center of the parabola.

• Vertex

• Focus

• Directrix

• Axis of symmetry

What do you call the fixed point ?

• Vertex

• Focus

• Directrix

• Axis of symmetry

Given the standard equation of a circle

 $\left(x+2\right)^2+\left(y-4\right)=16$  , determine the radius.

• r = 16

• r = 4

• r = 2

• r = 1

Given,

 $x^2=-20y$  , what is the vertex?

• (x , y)

• (1, -20)

• (0 , 0)

• (1, 1)