Answer:
○ The graph of y = -2x² + 3 opens downward and is shifted up.
Step-by-step explanation:
According to the Quadratic Equation, <em>y = Ax² + Bx + C</em>, <em>C</em><em> </em>acts<em> </em>like a y-intercept, and in this case, since both graphs shift up [because both are positive values], we do not pay attention to those. Now, we come over to our <em>A</em>, which makes a BIG difference because both graphs open in opposite directions [one negative, one positive]. With this being stated, we have our answer.
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** Extended information on Parabolas
Opens down → -A
Opens up → A
Answer:
y = 2x + 7
Step-by-step explanation:
y = mx + b The point (-2,3) gives us an x value and a y value that we can use. We are also give the slope (m). All we need to do is figure out the b (y-intercept) value.
y = mx + b
3 = 2(-2) + b
3 = -4 + b Add for to both sides
7 = b We know have every thing that we need to write the equation. We have the slope (m) which is 2 and the b (y-intercept) that we just figured out is 7
y = 2x + 7
we are given with a triangle with the sides 6 ft, 21 ft, 23 ft. although it follows the rule of triangles that state that no side of the triangle exceeds the sum of the lengths of two other sides, this does not follow Pythagorean theorem: 23^2-21^2 = 88 which is not equal to 6^2 or 36. This is not a right triangle, hence. Hope this helps!
10.2 x 2 = 20.40
9.4 x 3 = 28.20
Total= 48.60
Answer:1493.1
Step-by-step explanation:
