QUESTION IMAGE
Question
use the equation \\(f(x) = x^2 + 6x - 3\\), to answer parts a) through g).
a) determine whether the parabola opens upward or downward.
- the parabola opens downward.
- the parabola opens upward.
b) find the equation of the axis of symmetry.
the axis of symmetry is .
(type an equation.)
c) find the vertex.
the vertex of the parabola \\(f(x) = x^2 + 6x - 3\\) is .
(type an ordered pair.)
d) find the y-intercept.
the y-intercept of \\(f(x) = x^2 + 6x - 3\\) is .
(type an ordered pair.)
e) find the x-intercepts.
Determine the direction of opening
Find the axis of symmetry
Find the vertex and y-intercept
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Question a
- The parabola opens downward.
- The parabola opens upward. (Correct answer)
Question b
The axis of symmetry is <blank>\(x = -3\)</blank>.
Question c
The vertex of the parabola \(f(x) = x^2 + 6x - 3\) is <blank>\((-3, -12)\)</blank>.
Question d
The y-intercept of \(f(x) = x^2 + 6x - 3\) is <blank>\((0, -3)\)</blank>.