PRE CAL LESSON 2-EDI MEOW

What is the general form of the equation of a circle?

x^2+y^2+Dx=Ey+F=0

Solve for the general equation of a circle where X has a value of 4 while Y has a value of -1 and a radius of 7 units.

(4, -1) r = 7. Use [(x-h)^2 + (y-k)^2 = r^2.]

x^2+y^2-8x+2y-32=0

This is the set of all points (x,y) in a plane that are equidistant from a fixed line, called the directrix, and a fixed point called the focus, not on the line.

Parabola

This is the midpoint between the focus and the directrix.

Vertex

This is the line that passes through the focus and the vertex.

Axis of symmetry

This is the one that connects two points of the parabola and passes through the focus

Lactus Rectum

What is the formula for Quadratic Function

y = ax^2+bx+c

What is the vertex form of a quadratic function?

y = a(x-h)² + k

If a is greater than 0, then, which direction does the parabola opens to and what is the point?

Opens upward, has a lowest point

if a is less than 0, then, which direction does the parabola opens to and what is the point?

Opens downward, has a highest point.

If the equation of vertex is (x-h)^2 = 4p(y-k), then, which direction does the graph open to?

Upward

If the equation of vertex is (x-h)^2 = -4p(y-k), then, which direction does the graph open to?

Downward

If the equation of vertex is (y-k)^2 = 4p(x-h), then, which direction does the graph open to?

Right

If the quation of vertex is (y-k)^2 = -4p(x-h), then, which direction does the graph open to?

Left

What is the standard form of the equation of a parabola with the vertex at the origin?

y^2 = 4ax

If the equation is, y^2 = 4ax, then, which direction does the parabola open to?

Right

If the equation is y^2 = -4ax, then which direction does the parabola open to?

left

if the equation is x^2 = 4ay, then, which direction does the parabola open to?

upward

if the equation is x^2 = -4ay, then, which direction does the parabola open to?

downward

This is the set of all points (x,y) in a plane, the sum of whose distances from two distinct fixed points, called the FOCI, is constant. its shape is a BOUNDED CURVE which looks like a flattened circle.

Ellipse

What is the general form of an Ellpise?

Ax^2+By^2+Cx+Dy+E = 0

This is the locus point that moves such that difference of its distances from two fixed points called the foci is constant. The constant difference is equal to 2a, which is the length of the transverse axis.

Hyperbola

This is a line segment that passes through the center of the hyperbola andhas vertices as its endpoint.

Transverse axis

This is a line segment perpendicular to the transverse axis of a hyperbola, passing through its center and having the co-vertices as endpoints.

Conjugate Axis

PART NA po ito ng true or false. Yung mga capitalized words po mali

next napo

Circles, ellipses, parabolas, and hyperbolas are UNRELATED CURVES.

Conic Section

Conic sections are formed by slicing a SPHERE.

Cone

A circle has a FOCUS.

Center

The radius is LONGER than the diameter.

Shorter

The major axis is the SHORTER axis.

Longer

----Sa part na ito 'yung modified true or false napo, walang true ha.---- (yung naka CAPITAL letters mga nagpamali)