Use the image to answer the question.

A parabola is graphed on a coordinate plane. The x-axis ranges from negative 5 to 1 in increments of 1. The y-axis ranges from negative 7 to 10 in increments of 1. the line curves down then curves up

Determine the value of the constant term of the quadratic function in standard form, given its graph.

(1 point)
The value of c in the standard form of the quadratic function y=ax^2+bx+c is _
is
.
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1 answer

To determine the constant term \(c\) in the standard form of a quadratic function, which is expressed as \(y = ax^2 + bx + c\), you need to identify the y-coordinate of the vertex of the parabola or its intercept with the y-axis (when \(x = 0\)).

From the description you provided, the parabola opens downwards and then curves upwards, indicating it is likely a "U" shaped graph. The constant term \(c\) corresponds to the value of \(y\) when \(x = 0\).

You can typically find this value by looking at the graph of the parabola at the point where it intersects the y-axis. Without the actual graph, I am unable to provide the specific value.

However, based on the likely structure of parabolas, if you notice from the graph where \(x = 0\), read off the y-coordinate value at that point to find the constant term \(c\).

If there’s any specific point on the graph or further details you could share, I could assist better. Otherwise, follow this process and you should be able to find \(c\).