Use your calculator or
other handheld
technology to graph
.
Then answer the
following questions.
What is the vertex of the graph?
Give your answer in coordinate
form.
The vertex is

Question

Use your calculator or
other handheld
technology to graph

.
Then answer the
following questions.
What is the vertex of the graph?
Give your answer in coordinate
form.
The vertex is

UpStudy AI · Accepted Answer

To find the vertex of the quadratic function $$ y = 4x^2 - 24x + 38 $$, we can use the formula for the vertex of a parabola defined by $$ y = ax^2 + bx + c $$:

$$
x = -\frac{b}{2a}
$$

Given your function:
- $$ a = 4 $$
- $$ b = -24 $$
- $$ c = 38 $$

**Step 1: Find the x-coordinate of the vertex.**

$$
x = -\frac{-24}{2 \times 4} = \frac{24}{8} = 3
$$

**Step 2: Find the y-coordinate by plugging $$ x = 3 $$ back into the equation.**

$$
y = 4(3)^2 - 24(3) + 38 = 4(9) - 72 + 38 = 36 - 72 + 38 = 2
$$

**Therefore, the vertex of the graph is:**

$$
\boxed{(3,\ 2)}
$$
The vertex of the graph is (3, 2).

Use your calculator or
other handheld
technology to graph
.
Then answer the
following questions.
What is the vertex of the graph?
Give your answer in coordinate
form.
The vertex is

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Solución

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Use your calculator or other handheld technology to graph . Then answer the following questions. What is the vertex of the graph? Give your answer in coordinate form. The vertex is

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Solución

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Latest Algebra Questions

Use your calculator or
other handheld
technology to graph
.
Then answer the
following questions.
What is the vertex of the graph?
Give your answer in coordinate
form.
The vertex is