Vertex form y = a(x - h)^2 + k: graph it and write it
Grade 9 Math Worksheet
Circle the best answer, or write your answer on the line.
Milo's swing graph has vertex (-4, 8) and passes through (-2, 20). In y = a(x + 4)² + 8, what is a?
Noah's fountain graph has vertex (2, 8) and passes through (4, -4). In y = a(x - 2)² + 8, what is a?
Pia's rocket sketch has vertex (-3, -8) and passes through (-5, -16). In y = a(x + 3)² - 8, what is a?
Tala graphs a rainbow, y = -3(x - 1)² + 4. How does its graph compare with the graph of y = x²?
- Flipped upside down, wider, vertex (1, 4)
- Opens up, narrower, vertex (1, 4)
- Flipped upside down, narrower, vertex (1, 4)
- Flipped upside down, narrower, vertex (-1, 4)
Zee graphs a wide salad bowl, y = (1/2)(x + 2)² - 1. How does its graph compare with the graph of y = x²?
- Flipped upside down, wider, vertex (-2, -1)
- Opens up, wider, vertex (-2, -1)
- Opens up, narrower, vertex (-2, -1)
- Opens up, wider, vertex (2, -1)
Ari graphs a half-pipe, y = 2x² - 5 (only on paper, for now). How does its graph compare with the graph of y = x²?
- Opens up, narrower, vertex (0, -5)
- Flipped upside down, narrower, vertex (0, -5)
- Opens up, wider, vertex (0, -5)
Esme graphs a cereal bowl on a grid. Which equation makes this graph?
- y = 2(x + 3)² - 1
- y = 2(x - 1)² - 3
- y = (x + 1)² - 3
- y = 2(x + 1)² - 3
Jun graphs a tent roof on a grid. Which equation makes this graph?
- y = -(x - 4)² + 2
- y = -(x + 2)² + 4
- y = -2(x - 2)² + 4
- y = -(x - 2)² + 4
Kira graphs a ramp dip on a grid. Which equation makes this graph?
- y = 3(x + 1)² - 2
- y = 3(x + 2)² + 1
- y = (x - 1)² - 2
- y = 3(x - 1)² - 2
Luz graphs a ball toss on a grid (great catch!). Which equation makes this graph?
- y = -2(x - 3)² + 5
- y = -(x + 3)² + 5
- y = -2(x + 3)² + 5
- y = -2(x - 5)² - 3