Choose the standard form equivalent to f(x) = (x + 5)(x - 2) that correctly matches a key feature of the graph it represents.
A f(x) = x2 + 3x – 10 highlights the y-intercept is equal to -10
6 f(x) = x2 + 3x – 10 highlights the x-intercept is equal to -10
© f(x)= 22 + 3x – 10 highlights the y-intercept is equal to 3
O f() = x2 + 3x - 10 highlights the x-intercept is equal to 3
© 2013 - 2021 Edcite, Inc
Si

Respuesta :

A key feature of the graph it represents is A f(x) = x² + 3x – 10 highlights the y-intercept is equal to -10.

Since f(x) = (x + 5)(x - 2) , f(x) crosses the x-axis when f(x) = 0.

So, (x + 5)(x - 2) = 0

x + 5 = 0 or x - 2 = 0

x = -5 or x = 2

So, f(x) crosses the axis at x = -5 and x = 2.

To find f(x) in standard form, we expand f(x) = (x + 5)(x - 2)

So, f(x) = x² - 2x + 5x - 2 × 5

f(x) = x² + 3x  - 10

The y-intercept is when x = 0.

So, f(0) = 0² + 3(0)  - 10

f(0) = -10

So, the graph intercepts the y-axis at x = -10

So, a key feature of the graph it represents is A f(x) = x² + 3x – 10 highlights the y-intercept is equal to -10.

Learn more about graphs here:

https://brainly.com/question/20623868