Answer:
Question 1
Function given:
In the vertex form:
- y = x² + 4x + 4 - 8 = (x + 2)² - 8
Axis of symmetry is the vertical line passing through the vertex.
The vertex is
Axis of symmetry is
y- intercept is
- x = 0 ⇒ y = -4, so the point (0, -4)
Two other points are
- x = 1 ⇒ y = (1 + 2)² - 8 = 9 - 8 = 1, the point is (1, 1)
- x = -1 ⇒ y = (-1 + 2)² - 8 = 1 - 8 = -7, the point is (-1, -7)
See the graph with all the points plotted
Question 2
Function given:
In standard form:
In vertex form:
- y = - 2x² + 4x - 2 + 8 = -2(x - 1)² + 8
The vertex:
Axis of symmetry is
y - intercept
- x = 0 ⇒ y = -2(-1)² + 8 = -2 + 8 = 6, the point is (0, 6)
Two other pints:
- x = -1 ⇒ y = -2(-1 - 1)² + 8 = -8 + 8 = 0, the point is (-1, 0)
- x = 2 ⇒ y = -2(2 - 1)² + 8 = -2 + 8 = 6, the point is (2, 6)
The graph is attached with the points plotted.
