Answer:
f(x): Vertex: (-2, 7) Symmetry: x = -2
g(x): Vertex: (-2, 7) Symmetry: x = -2
h(x): Vertex: (3, 2) Symmetry: x = 3
Step-by-step explanation:
For the vertex, convert the quadratic into the completed square form:
y = a(x - h)² + k
Where (h,k) is the vertex
Line of symmetry of every quadratic is x = h
It divides the curve into two halves
f(x) = -4(x+2)² + 7
Already completed square form.
Vertex: (-2, 7)
Symmetry: x = -2
g(x) = 2x² + 8x + 15
= 2(x² + 4x) + 15
= 2[(x² + 2(x)(2) + 2²) - 2²] + 15
= 2(x + 2)² - 2(4) + 15
g(x) = 2(x + 2)² + 7
Vertex: (-2, 7)
Symmetry: x = -2
h(x)
Vertex: (3, 2)
Symmetry: x = 3
