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

Answer

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Answer

Final Answer: $\boxed{\text{True}}$

Steps

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: $\boxed{\text{True}}$