Skills · Quadratics · Graphing Quadratics
Finding the vertex
Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.
Problem types
- vertex form, (x − h)²: y = (x − 3)² + 2: vertex
- vertex form, (x + h)²: y = (x + 4)² − 1: vertex
- vertex form with a number in front: y = −2(x − 1)² + 5: vertex
- standard form, x² first: y = x² − 6x + 5: vertex
- standard form, a number in front of x²: y = 2x² + 8x + 3: vertex
Sample Sheet · Level 1
- y = (x + 2)² − 1: vertex =
- y = (x + 4)² + 7: vertex =
- y = (x − 1)² + 7: vertex =
- y = (x + 3)² + 2: vertex =
- y = (x + 6)² − 1: vertex =
- y = (x − 2)² − 8: vertex =
- y = (x − 3)² + 6: vertex =
- y = (x − 4)² + 5: vertex =
Answer key
- (−2, −1)
- (−4, 7)
- (1, 7)
- (−3, 2)
- (−6, −1)
- (2, −8)
- (3, 6)
- (4, 5)
Sample Sheet · Level 3
- y = 2x² + 16x + 35: vertex =
- y = (x − 3)² + 4: vertex =
- y = (x + 2)² + 6: vertex =
- y = x² + 6x + 4: vertex =
- y = (x − 2)² + 8: vertex =
- y = −2x² − 4x − 4: vertex =
- y = 2(x − 3)² − 3: vertex =
- y = −(x + 6)² − 8: vertex =
Answer key
- (−4, 3)
- (3, 4)
- (−2, 6)
- (−3, −5)
- (2, 8)
- (−1, −2)
- (3, −3)
- (−6, −8)
Make your own
Pick the count, the level and the version, and print it with work space and the key on its own page. The same skill also makes an I Do, We Do, You Do lesson, a Mosaic, a Decoder and more.