Question
Quadratic Functions in Vertex Form Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
1 of 51 of 5 Items
Question
Use the image to answer the question.
A coordinate plane shows an upward-opening parabola with a plotted point. Both axes range from negative 20 to 20 in increments of 5.
What is the vertex form of the graphed equation?
(1 point)
y=
(x−
)2+
Complete this assessment to review what you’ve learned. It will not count toward your grade.
1 of 51 of 5 Items
Question
Use the image to answer the question.
A coordinate plane shows an upward-opening parabola with a plotted point. Both axes range from negative 20 to 20 in increments of 5.
What is the vertex form of the graphed equation?
(1 point)
y=
(x−
)2+
Answers
Answer
(h,k) is 2,-14
Answered by
GPT-4o mini
To determine the vertex form of the quadratic function graphed on the coordinate plane, we need to identify the vertex of the parabola. The vertex form of a quadratic equation is given by:
\[ y = a(x - h)^2 + k \]
where \((h, k)\) is the vertex of the parabola, and \(a\) is a coefficient that indicates the direction and width of the parabola.
Here’s how to find the vertex form:
1. **Identify the Vertex**: From the graph, locate the vertex \((h, k)\) of the parabola. This point will help you find the parameters \(h\) and \(k\).
2. **Determine the Value of \(a\)**: Look at how "steep" or "wide" the parabola is to estimate the value of \(a\). If the parabola opens upwards (which it does in your case) and looks like it passes through some well-known points, you can calculate \(a\).
Once you have the vertex and value of \(a\), you can write the equation in vertex form.
Please provide the vertex coordinates \((h, k)\) and any additional points from the graph if you want to calculate the value of \(a\) so that we can complete the vertex form equation.
\[ y = a(x - h)^2 + k \]
where \((h, k)\) is the vertex of the parabola, and \(a\) is a coefficient that indicates the direction and width of the parabola.
Here’s how to find the vertex form:
1. **Identify the Vertex**: From the graph, locate the vertex \((h, k)\) of the parabola. This point will help you find the parameters \(h\) and \(k\).
2. **Determine the Value of \(a\)**: Look at how "steep" or "wide" the parabola is to estimate the value of \(a\). If the parabola opens upwards (which it does in your case) and looks like it passes through some well-known points, you can calculate \(a\).
Once you have the vertex and value of \(a\), you can write the equation in vertex form.
Please provide the vertex coordinates \((h, k)\) and any additional points from the graph if you want to calculate the value of \(a\) so that we can complete the vertex form equation.