Click on all that are true about the graph of y > x^2 + 4x + 4.
2 answers:
Answer:
The correct options are:
a) The parabola opens up.
c) The vertex is at (-2,0).
d) The parabola is dashed.
Step-by-step explanation:
We are given an algebraic inequality as:
y > x^2 + 4x + 4:
This implies that:
y> (x+2)^2
The options that holds true regarding this inequality is:
a)
The parabola opens up.
Since the coefficient of the leading term is positive.
c)
The vertex is at (-2,0).
d)
The parabola is dashed.
Since the inequality is a strict inequality.
( The line of symmetry of parabola is x=-2.
Also the parabola is shaded inside )
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Answer:
y = x -4
Step-by-step explanation:
The slope-intercept form of an equation of a line is given by:
y = mx + b, where m = slope and b = y-intercept
Given the slope and point on a line, you can solve for 'b' in the equation:
(3, 3) - x = 3, y = 3
slope =
Plug into the equation:
3 = *3 + b
3 = 7 + b
-4 = b
y = x - 4