On a piece of paper, graph y ≤ -2x. Then determine which answer matches the graph you drew.
1 answer:
Answer: Graph provided below.
Step-by-step explanation:
Draw the graph of y = -2x and then shade the region below it because y is less than and equal to -2x. To draw the graph of y = -2x, plug in x values into the equation and plot the corresponding coordinates. See this video on how to graph linear equations:
https://www.khanacademy.org/math/in-in-grade-9-ncert/xfd53e0255cd302f8:linear-equations-in-two-variables/xfd53e0255cd302f8:graph-of-a-linear-equation-in-two-variables/v/graphs-of-linear-equations
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Answer:
(2, 5 )
Step-by-step explanation:
Given a quadratic in standard form : y = ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= -
y = 3x² - 12x + 17 ← is in standard form
with a = 3 and b = - 12, thus
= -
= 2
Substitute x = 2 into the function for corresponding value of y
y = 3(2)² - 12(2) + 17 = 12 - 24 + 17 = 5
vertex = (2, 5 )