Learn – Geometry – Coordinate Geometry (Parabola)

Using function transformations

Exercises

Problem set

Graph each of the following using the ideas of function transformations.

  1. y = x^2 - 1.5
  2. y = -x^2
  3. y = 2x^2
  4. y = 0.6x^2
  5. y = \frac{x^2}{3}
  6. y = \frac{x^2}{4}

Problem set

Graph each of the following using the ideas of function transformations.

  1. y = -x^2+2
  2. y = -2x^2
  3. y = \frac{1}{2}x^2-3
  4. y = -\frac{x^2}{3}+4
  5. y = (x-1)^2
  6. y = \left(x+\frac{1}{2}\right)^2
  7. y = \left(x-3.5\right)^2

Problem set

Graph each of the following using the ideas of function transformations.

  1. y = 2(x-2)^2+2
  2. y = 2(x+2)^2+2
  3. y = -3(x-1)^2+3
  4. y = -3(x-3)^2-3
  5. y = -\frac{(x-2)^2}{2}+2

Using vertex form

Exercises

Problem set

Graph the following quadratics by relating them to the vertex form of a quadratic.

  1. y = 3(x-2)^2 +1
  2. y = \frac{1}{2}(x-3)^2 -1
  3. y = -3(x+3)^2 -1
  4. y = -\frac{1}{3}(x+6)^2 -3
  5. y = 0.5(x+2)^2 +2
  6. y = (2x+3)^2 + 3
  7. y = (3x+1)^2 - 1
  8. y = 3(2x+1)^2 - 3
  9. y = \frac{(2x+3)^2}{2} - 4

Problem set

Graph the following quadratics by relating them to the vertex form of a quadratic.

  1. y = x^2-6x+10
  2. y = x^2+4x+2
  3. y = x^2-3x+2
  4. y = x^2+5x+3
  5. y = 2x^2+4x-1
  6. y = -3x^2-8x-7
  7. y = -5x^2-3x+1
  8. 2y = x^2-5x-5