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3 years ago

The graph of a quadratic function contains the points

Mathematics

1 answer:

masya89 [10]3 years ago

3 0

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.

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Felix has $50 in a savings account that earns 5% interest, compounded annually. To the nearest cent, how much interest will he e

qwelly [4]

Answer:

$55.13

Step-by-step explanation:

50 * 1.05 = 52.5

We do this step twice because the interest is for 2 years.

52.5 * 1.05 = 55.125

This rounds up to 55.13, your final answer!

8 0

3 years ago

Determine the distance between the following pair of points (-2,1) and (-5,-1)

Alexeev081 [22]

The distance would be 3 units because the difference between 2 and 5 is 3.

7 0

3 years ago

Point A is at (-2,4) and point C is at (4,7). Find the coordinates of point B on AC such that the ratio of a B to a C is 1:3

Diano4ka-milaya [45]

Answer:

$[x=\frac{1(4)+3(-2)}{1+3}, y=\frac{1(7)+3(4)}{1+3}]$

$[x=\frac{4-6}{4}, y=\frac{7+12}{4}]$

$[x=\frac{-2}{4}, y=\frac{19}{4}]$

$[x=-0.5, y=4.75]$

Therefore, the coordinates of point 'b' would be (-0.5 , 4.75).

Step-by-step explanation:

We have been given that point a is at (-2,4) and point c is at (4,7) .

We are asked to find the coordinates of point b on segment ac such that the ratio is 1:3.

We will use section formula to solve our given problem.

When point P divides a segment internally in the ratio m:n, the coordinates of point P would be:

$[x=\frac{mx_2+nx_1}{m+n}, y=\frac{my_2+ny_1}{m+n}]$

$\texttt{Let point} (-2,4)=(x_1,y_1) \texttt {and point} (4,7)=(x_2,y_2).$

$[x=\frac{1(4)+3(-2)}{1+3}, y=\frac{1(7)+3(4)}{1+3}]$

$[x=\frac{4-6}{4}, y=\frac{7+12}{4}]$

$[x=\frac{-2}{4}, y=\frac{19}{4}]$

$[x=-0.5, y=4.75]$

Therefore, the coordinates of point 'b' would be (-0.5 , 4.75).

5 0

3 years ago

two angles of a triangle measure 36° and 102°. one of the sides formed by the 36° angle is 9 inches long. determine whether the

Furkat [3]

Yes Because there aremultiple place for the 102 degrees angle

4 0

3 years ago

What is the difference? 4y+6/y-5 - 2y+1/y-5

nalin [4]

Answer:

$\frac{2y+5}{y-5}$

Step-by-step explanation:

Since both fractions have a common denominator then subtract the numerators leaving the denominator, that is

$\frac{4y+6-(2y+1)}{y-5}$

= $\frac{4y+6-2y-1}{y-5}$

= $\frac{2y+5}{y-5}$

6 0

3 years ago