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.
The answer is 9
One square is equal to one. for the rest just substitute the x and y for the given values
The first rectangle has a length of 20cm and a width of 2cm for the area to be 40cm. so, the dimensions must be multiplied by 4 to equal 160cm.
Answer:

Step-by-step explanation:
A quadratic equation has one root if the discriminant is 0.
That is we need
for this particular question.
Compare the following to find
:


The variable
is representative of the variable
here.



Plug in into
:


Subtract 4 on both sides:

Divide both sides by 16:

Reduce:

Answer:
x=3/5
Step-by-step explanation:
x^2+4x=5
x+4x=5x
5x+2=5
-2 -2
5x=3
divide 5 from each side
5/5x=3/5
<u>x=3/5</u>