Decide whether the following statement is frue or false. The graph of $f(x)=4 x^{2}+5 x-7$ opens up Choose the correct answer below. False True

Step 1 ：Decide whether the following statement is true or false. The graph of \(f(x)=4 x^{2}+5 x-7\) opens up.

Step 2 ：The graph of a quadratic function \(f(x) = ax^2 + bx + c\) opens up if the coefficient of \(x^2\) (which is \(a\)) is positive.

Step 3 ：In this case, the coefficient of \(x^2\) is 4, which is positive.

Step 4 ：Therefore, the graph of the function opens up.

Step 5 ：Final Answer: \(\boxed{\text{True}}\)