<h2>The graph of y = ax^2 + bx + c
</h2><h2>A nonlinear function that can be written on the standard form
</h2><h2>ax2+bx+c,where a≠0
</h2><h2>All quadratic functions has a U-shaped graph called a parabola. The parent quadratic function is
</h2><h2>
y=x2
</h2><h2>
The lowest or the highest point on a parabola is called the vertex. The vertex has the x-coordinate
</h2><h2>x=−b2a
</h2><h2>The y-coordinate of the vertex is the maximum or minimum value of the function.
</h2><h2>a > 0 parabola opens up minimum value
</h2><h2>a < 0 parabola opens down maximum value
</h2><h2>
A rule of thumb reminds us that when we have a positive symbol before x2 we get a happy expression on the graph and a negative symbol renders a sad expression.
</h2><h2>The vertical line that passes through the vertex and divides the parabola in two is called the axis of symmetry. The axis of symmetry has the equation
</h2><h2>x=−b2a
</h2><h2>The y-intercept of the equation is c.
</h2><h2>
When you want to graph a quadratic function you begin by making a table of values for some values of your function and then plot those values in a coordinate plane and draw a smooth curve through the points.</h2>
Answer:
Quadrants 3 and 4
Step-by-step explanation:
we have


using a graphing tool
The solution is the triangular shaded area between the three dashed lines
see the attached figure
The solution lies in Quadrants 3 and 4
In a half hour the bacteria population will multiple by 1 and 1/2.
Answer:
<em>2(15+8)</em>
Step-by-step explanation:
Given the expression 30+16
We are to use GCF to rewrite the sum as a product.
Get the factor of each value first as shown;
30 = 2 * 15
16 = 2 * 8
substitute the factors back into the expression:
30+16 = (2*15)+(2*8)
Since 2 is common to both terms, then:
30+16 = 2(15+8)
<em></em>
<em>Hence the required sum of product of the terms is 2(15+8)</em>