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2021-06-17

What is the standard form of the equation of a parabola that opens up or down?

What is the standard form of the equation of a parabola that opens up or down?

For parabolas that open either up or down, the standard form equation is (x – h)^2 = 4p(y – k). For parabolas that open sideways, the standard form equation is (y – k)^2 = 4p(x – h). The vertex or tip of our parabola is given by the point (h, k).

What is the standard form of the equation of a parabola that opens left or right apex?

A.y=ax^2+bx+c.

How do you convert from standard form to vertex form on a calculator?

Vertex form to standard form converter

  1. Write the parabola equation in the vertex form: y = a*(x-h)² + k ;
  2. Expand the expression in the bracket: y = a*(x² – 2*h*x + h²) + k ;
  3. Multiply the terms in the parenthesis by a : y = a*x² – 2*a*h*x + a*h² + k ;

How do you find the vertex form of a quadratic function?

While the standard quadratic form is a x 2 + b x + c = y , the vertex form of a quadratic equation is y = a ( x − h ) 2 + k . In both forms, y is the y -coordinate, x is the x -coordinate, and a is the constant that tells you whether the parabola is facing up ( + a ) or down ( − a ).

How do you convert standard form to slope intercept form?

Going From Standard Form to Slope-Intercept Form

  1. A standard form equation is when it is set up.
  2. Ax + By = C.
  3. 6x + 2y = 4.
  4. A slope-intercept form equation is when it is set up y=mx+b.
  5. Y = – 3x + 2.
  6. 4y = -8x + 16 then divide all by 4.
  7. y = -2x + 4 slope form.
  8. Example 2:

How do you find the slope when given two points?

There are three steps in calculating the slope of a straight line when you are not given its equation.

  1. Step One: Identify two points on the line.
  2. Step Two: Select one to be (x1, y1) and the other to be (x2, y2).
  3. Step Three: Use the slope equation to calculate slope.

What are the steps to find slope?

How To Calculate Slope

  1. What is Slope?
  2. 4 Steps to Calculate Slope.
  3. Step 1: Find two points anywhere on the line.
  4. Step 2: Count the rise (the units up or down) to get from one point to the next.
  5. Step 3: Determine the run (the units left to right) to get from one point to the next.
  6. Step 4: If possible, simplify the fraction.

What does a zero slope mean?

This relationship always holds: a slope of zero means that the line is horizontal, and a horizontal line means you’ll get a slope of zero. (By the way, all horizontal lines are of the form “y = some number”, and the equation “y = some number” always graphs as a horizontal line.)