Answer:
Shawn is correct.
Step-by-step explanation:
Let the quadratic function is g(x) = a(x - h)² + k
Here (h, k) is the vertex of the parabola.
Since this parabola passes through (0, 0), (1, 9) and (-1, 9), axis of symmetry is x = 0 and the vertex is (0, 0).
Therefore, equation of the parabola will be,
g(x) = a(x - 0)²+ 0
g(x) = ax²
for a point (1, 9) which lies on the graph,
9 = a(1)²
a = 9
g(x) = 9x² (here a > 1)
Therefore, f(x) is vertically stretched by a factor of 9 to form g(x).
Shawn is correct.
Answer:
Step-by-step explanation:
solve each inequality:
A : x+6<8 , x<-8-6 , x<-14
B: x+4≥-6 , x≥-10
C: x-3>-10 , x>-7
D:x≤-9
since -12 is on the left side of the number line then x≤ -9 would be the solution
x - y = 14
given the ratio x : y = 5 : 3
then let x = 5x and y = 3x, hence equation can be expressed as
5x + 3x = 56
8x = 56 ( divide both sides by 8 )
x = 7
Hence x = 5 × 7 = 35 and y = 3 × 7 = 21
Thus x - y = 35 - 21 = 14
Answer:
Neither even nor odd
Step-by-step explanation:
The graph of y = -5x^2 - 2x + 6 is that of a parabola that opens down. This function is neither even nor odd because a point chosen at random is neither reflected in the y-axis nor reflected in the origin.
Answer: (A) If it is a bib, then it is a bab
<u>Step-by-step explanation:</u>
p: The bib is a bub.
Rewrite it as: If it is a bib, then it is a bub.
- hypothesis: It is a bib
- conclusion: It is a bub
q: The bub is a bab.
Rewrite it as: If it is a bub, then it is a bab
- hypothesis: It is a bub
- conclusion: It is a bab
The conclusion of p equals the hypothesis of q so the Law of Syllogism can be applied --> hypothesis of p → conclusion of q
