# The parabola shown is the graph of f(x) = Ax^{2} + 2x + C. The x-intercepts of the graph are at -4 and -3. Find the exact value of the y-intercept and the coordinates of the vertex of the graph (expressed in terms of rational numbers and radicals).

Tolnaio 2020-12-06 Answered
The parabola shown is the graph of
The x-intercepts of the graph are at Find the exact value of the y-intercept and the coordinates of the vertex of the graph (expressed in terms of rational numbers and radicals).
You can still ask an expert for help

Expert Community at Your Service

• Live experts 24/7
• Questions are typically answered in as fast as 30 minutes
• Personalized clear answers

Solve your problem for the price of one coffee

• Available 24/7
• Math expert for every subject
• Pay only if we can solve it

## Expert Answer

jlo2niT
Answered 2020-12-07 Author has 96 answers
Given:

x intercept are
We need to write x intercept in factor form
If p and q are the factors then intercepts form of quadratic equation is

are x intercepts

Now compare f(x) with out given f(x)

$7a=2$
$a=\frac{2}{7}$
Replace the value in f(x), then f(x) becomes

To find out vertex we use formula
$x=\frac{-b}{2a}$

now we find out y

$x=\frac{-7}{2}$

Vertex

Now find out y intercept when $x=0$

y intercept is $\left(\frac{24}{7}\right)$
###### Not exactly what you’re looking for?

Expert Community at Your Service

• Live experts 24/7
• Questions are typically answered in as fast as 30 minutes
• Personalized clear answers

Solve your problem for the price of one coffee

• Available 24/7
• Math expert for every subject
• Pay only if we can solve it