Question

For the function h(x) = 4x - x2 - 1, (a) determine whether the graph opens upward or downward, (b) find the axis of symmetry, (c) find the vertex, (d) find the y-intercept, and (e) graph the function.

1.(a) upward, (b) x = 2, (c) (2, 3), (d) y-int = -1, (e)
2.(a) downward, (b) x = 3, (c) (3, 2), (d) y-int = -1, (e)
3.(a) upward, (b) x = 3, (c) (3, 2), (d) y-int = -1, (e)
4.(a) downward, (b) x = 2, (c) (2, 3), (d) y-int = -1, (e)

Answer 1

so its #4 (:

Answer 2

thank you Luis!

Answer 3

write terms in standard form: ax^2 +bx +c
h(x) = -x^2 +4x -1

If sign of a is positive --> opens up
negative --> opens down

axis of symmetry--> x = -b/2a
vertex --> take x_value from axis of symmetry and plug it into function to get y_value of vertex

to find y_intercept, plug in x=0